# Angle Foundations This batch has passed Schema, deduplication, source-snapshot, and independent-answer recomputation checks; it is still not marked as human-reviewed. This question bank has corresponding bilingual step-by-step derivations. Source candidate and English ai_candidate states are retained. AI review, finite computation and Lean formal proof are labelled separately. batch-20260922-angle-foundations · 2026-09-22 · 100 questions This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt. ## 1. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 1°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationacute angle θ=1°. Applying the fixed degree intervals gives acute angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0001/) Angle · qf-angle-degree-classification · candidate ## 2. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 7°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationacute angle θ=7°. Applying the fixed degree intervals gives acute angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0002/) Angle · qf-angle-degree-classification · candidate ## 3. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 15°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationacute angle θ=15°. Applying the fixed degree intervals gives acute angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0003/) Angle · qf-angle-degree-classification · candidate ## 4. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 24°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationacute angle θ=24°. Applying the fixed degree intervals gives acute angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0004/) Angle · qf-angle-degree-classification · candidate ## 5. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 38°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationacute angle θ=38°. Applying the fixed degree intervals gives acute angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0005/) Angle · qf-angle-degree-classification · candidate ## 6. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 45°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationacute angle θ=45°. Applying the fixed degree intervals gives acute angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0006/) Angle · qf-angle-degree-classification · candidate ## 7. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 59°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationacute angle θ=59°. Applying the fixed degree intervals gives acute angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0007/) Angle · qf-angle-degree-classification · candidate ## 8. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 72°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationacute angle θ=72°. Applying the fixed degree intervals gives acute angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0008/) Angle · qf-angle-degree-classification · candidate ## 9. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 89°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationacute angle θ=89°. Applying the fixed degree intervals gives acute angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0009/) Angle · qf-angle-degree-classification · candidate ## 10. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 90°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationright angle θ=90°. Applying the fixed degree intervals gives right angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0010/) Angle · qf-angle-degree-classification · candidate ## 11. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 91°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationobtuse angle θ=91°. Applying the fixed degree intervals gives obtuse angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0011/) Angle · qf-angle-degree-classification · candidate ## 12. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 97°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationobtuse angle θ=97°. Applying the fixed degree intervals gives obtuse angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0012/) Angle · qf-angle-degree-classification · candidate ## 13. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 105°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationobtuse angle θ=105°. Applying the fixed degree intervals gives obtuse angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0013/) Angle · qf-angle-degree-classification · candidate ## 14. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 113°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationobtuse angle θ=113°. Applying the fixed degree intervals gives obtuse angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0014/) Angle · qf-angle-degree-classification · candidate ## 15. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 120°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationobtuse angle θ=120°. Applying the fixed degree intervals gives obtuse angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0015/) Angle · qf-angle-degree-classification · candidate ## 16. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 128°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationobtuse angle θ=128°. Applying the fixed degree intervals gives obtuse angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0016/) Angle · qf-angle-degree-classification · candidate ## 17. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 137°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationobtuse angle θ=137°. Applying the fixed degree intervals gives obtuse angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0017/) Angle · qf-angle-degree-classification · candidate ## 18. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 149°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationobtuse angle θ=149°. Applying the fixed degree intervals gives obtuse angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0018/) Angle · qf-angle-degree-classification · candidate ## 19. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 159°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationobtuse angle θ=159°. Applying the fixed degree intervals gives obtuse angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0019/) Angle · qf-angle-degree-classification · candidate ## 20. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 171°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationobtuse angle θ=171°. Applying the fixed degree intervals gives obtuse angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0020/) Angle · qf-angle-degree-classification · candidate ## 21. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 179°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationobtuse angle θ=179°. Applying the fixed degree intervals gives obtuse angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0021/) Angle · qf-angle-degree-classification · candidate ## 22. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 180°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationstraight angle θ=180°. Applying the fixed degree intervals gives straight angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0022/) Angle · qf-angle-degree-classification · candidate ## 23. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 2°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationacute angle θ=2°. Applying the fixed degree intervals gives acute angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0023/) Angle · qf-angle-degree-classification · candidate ## 24. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 63°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationacute angle θ=63°. Applying the fixed degree intervals gives acute angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0024/) Angle · qf-angle-degree-classification · candidate ## 25. Classifying an Explicit Angle Measure Angle θ has the explicitly stated integer measure 146°. Without inferring from a drawing, is θ acute, right, obtuse, or straight? View answer and explanationobtuse angle θ=146°. Applying the fixed degree intervals gives obtuse angle. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-degree-classification-0025/) Angle · qf-angle-degree-classification · candidate ## 26. Complementary Angle Measure Angle θ has the explicitly stated measure 1°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation89° Complementary measures sum to 90°; 90−1=89, so the answer is 89°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0001/) Angle · qf-angle-complement-measure · candidate ## 27. Complementary Angle Measure Angle θ has the explicitly stated measure 4°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation86° Complementary measures sum to 90°; 90−4=86, so the answer is 86°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0002/) Angle · qf-angle-complement-measure · candidate ## 28. Complementary Angle Measure Angle θ has the explicitly stated measure 7°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation83° Complementary measures sum to 90°; 90−7=83, so the answer is 83°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0003/) Angle · qf-angle-complement-measure · candidate ## 29. Complementary Angle Measure Angle θ has the explicitly stated measure 10°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation80° Complementary measures sum to 90°; 90−10=80, so the answer is 80°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0004/) Angle · qf-angle-complement-measure · candidate ## 30. Complementary Angle Measure Angle θ has the explicitly stated measure 13°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation77° Complementary measures sum to 90°; 90−13=77, so the answer is 77°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0005/) Angle · qf-angle-complement-measure · candidate ## 31. Complementary Angle Measure Angle θ has the explicitly stated measure 16°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation74° Complementary measures sum to 90°; 90−16=74, so the answer is 74°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0006/) Angle · qf-angle-complement-measure · candidate ## 32. Complementary Angle Measure Angle θ has the explicitly stated measure 19°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation71° Complementary measures sum to 90°; 90−19=71, so the answer is 71°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0007/) Angle · qf-angle-complement-measure · candidate ## 33. Complementary Angle Measure Angle θ has the explicitly stated measure 22°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation68° Complementary measures sum to 90°; 90−22=68, so the answer is 68°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0008/) Angle · qf-angle-complement-measure · candidate ## 34. Complementary Angle Measure Angle θ has the explicitly stated measure 25°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation65° Complementary measures sum to 90°; 90−25=65, so the answer is 65°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0009/) Angle · qf-angle-complement-measure · candidate ## 35. Complementary Angle Measure Angle θ has the explicitly stated measure 28°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation62° Complementary measures sum to 90°; 90−28=62, so the answer is 62°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0010/) Angle · qf-angle-complement-measure · candidate ## 36. Complementary Angle Measure Angle θ has the explicitly stated measure 31°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation59° Complementary measures sum to 90°; 90−31=59, so the answer is 59°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0011/) Angle · qf-angle-complement-measure · candidate ## 37. Complementary Angle Measure Angle θ has the explicitly stated measure 34°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation56° Complementary measures sum to 90°; 90−34=56, so the answer is 56°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0012/) Angle · qf-angle-complement-measure · candidate ## 38. Complementary Angle Measure Angle θ has the explicitly stated measure 37°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation53° Complementary measures sum to 90°; 90−37=53, so the answer is 53°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0013/) Angle · qf-angle-complement-measure · candidate ## 39. Complementary Angle Measure Angle θ has the explicitly stated measure 40°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation50° Complementary measures sum to 90°; 90−40=50, so the answer is 50°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0014/) Angle · qf-angle-complement-measure · candidate ## 40. Complementary Angle Measure Angle θ has the explicitly stated measure 43°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation47° Complementary measures sum to 90°; 90−43=47, so the answer is 47°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0015/) Angle · qf-angle-complement-measure · candidate ## 41. Complementary Angle Measure Angle θ has the explicitly stated measure 46°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation44° Complementary measures sum to 90°; 90−46=44, so the answer is 44°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0016/) Angle · qf-angle-complement-measure · candidate ## 42. Complementary Angle Measure Angle θ has the explicitly stated measure 49°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation41° Complementary measures sum to 90°; 90−49=41, so the answer is 41°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0017/) Angle · qf-angle-complement-measure · candidate ## 43. Complementary Angle Measure Angle θ has the explicitly stated measure 52°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation38° Complementary measures sum to 90°; 90−52=38, so the answer is 38°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0018/) Angle · qf-angle-complement-measure · candidate ## 44. Complementary Angle Measure Angle θ has the explicitly stated measure 55°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation35° Complementary measures sum to 90°; 90−55=35, so the answer is 35°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0019/) Angle · qf-angle-complement-measure · candidate ## 45. Complementary Angle Measure Angle θ has the explicitly stated measure 58°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation32° Complementary measures sum to 90°; 90−58=32, so the answer is 32°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0020/) Angle · qf-angle-complement-measure · candidate ## 46. Complementary Angle Measure Angle θ has the explicitly stated measure 61°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation29° Complementary measures sum to 90°; 90−61=29, so the answer is 29°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0021/) Angle · qf-angle-complement-measure · candidate ## 47. Complementary Angle Measure Angle θ has the explicitly stated measure 64°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation26° Complementary measures sum to 90°; 90−64=26, so the answer is 26°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0022/) Angle · qf-angle-complement-measure · candidate ## 48. Complementary Angle Measure Angle θ has the explicitly stated measure 70°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation20° Complementary measures sum to 90°; 90−70=20, so the answer is 20°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0023/) Angle · qf-angle-complement-measure · candidate ## 49. Complementary Angle Measure Angle θ has the explicitly stated measure 77°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation13° Complementary measures sum to 90°; 90−77=13, so the answer is 13°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0024/) Angle · qf-angle-complement-measure · candidate ## 50. Complementary Angle Measure Angle θ has the explicitly stated measure 89°. Find an integer-degree measure complementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation1° Complementary measures sum to 90°; 90−89=1, so the answer is 1°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-complement-measure-0025/) Angle · qf-angle-complement-measure · candidate ## 51. Supplementary Angle Measure Angle θ has the explicitly stated measure 1°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation179° Supplementary measures sum to 180°; 180−1=179, so the answer is 179°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0001/) Angle · qf-angle-supplement-measure · candidate ## 52. Supplementary Angle Measure Angle θ has the explicitly stated measure 5°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation175° Supplementary measures sum to 180°; 180−5=175, so the answer is 175°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0002/) Angle · qf-angle-supplement-measure · candidate ## 53. Supplementary Angle Measure Angle θ has the explicitly stated measure 12°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation168° Supplementary measures sum to 180°; 180−12=168, so the answer is 168°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0003/) Angle · qf-angle-supplement-measure · candidate ## 54. Supplementary Angle Measure Angle θ has the explicitly stated measure 19°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation161° Supplementary measures sum to 180°; 180−19=161, so the answer is 161°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0004/) Angle · qf-angle-supplement-measure · candidate ## 55. Supplementary Angle Measure Angle θ has the explicitly stated measure 26°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation154° Supplementary measures sum to 180°; 180−26=154, so the answer is 154°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0005/) Angle · qf-angle-supplement-measure · candidate ## 56. Supplementary Angle Measure Angle θ has the explicitly stated measure 33°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation147° Supplementary measures sum to 180°; 180−33=147, so the answer is 147°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0006/) Angle · qf-angle-supplement-measure · candidate ## 57. Supplementary Angle Measure Angle θ has the explicitly stated measure 40°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation140° Supplementary measures sum to 180°; 180−40=140, so the answer is 140°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0007/) Angle · qf-angle-supplement-measure · candidate ## 58. Supplementary Angle Measure Angle θ has the explicitly stated measure 47°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation133° Supplementary measures sum to 180°; 180−47=133, so the answer is 133°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0008/) Angle · qf-angle-supplement-measure · candidate ## 59. Supplementary Angle Measure Angle θ has the explicitly stated measure 54°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation126° Supplementary measures sum to 180°; 180−54=126, so the answer is 126°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0009/) Angle · qf-angle-supplement-measure · candidate ## 60. Supplementary Angle Measure Angle θ has the explicitly stated measure 61°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation119° Supplementary measures sum to 180°; 180−61=119, so the answer is 119°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0010/) Angle · qf-angle-supplement-measure · candidate ## 61. Supplementary Angle Measure Angle θ has the explicitly stated measure 68°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation112° Supplementary measures sum to 180°; 180−68=112, so the answer is 112°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0011/) Angle · qf-angle-supplement-measure · candidate ## 62. Supplementary Angle Measure Angle θ has the explicitly stated measure 75°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation105° Supplementary measures sum to 180°; 180−75=105, so the answer is 105°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0012/) Angle · qf-angle-supplement-measure · candidate ## 63. Supplementary Angle Measure Angle θ has the explicitly stated measure 82°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation98° Supplementary measures sum to 180°; 180−82=98, so the answer is 98°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0013/) Angle · qf-angle-supplement-measure · candidate ## 64. Supplementary Angle Measure Angle θ has the explicitly stated measure 90°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation90° Supplementary measures sum to 180°; 180−90=90, so the answer is 90°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0014/) Angle · qf-angle-supplement-measure · candidate ## 65. Supplementary Angle Measure Angle θ has the explicitly stated measure 97°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation83° Supplementary measures sum to 180°; 180−97=83, so the answer is 83°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0015/) Angle · qf-angle-supplement-measure · candidate ## 66. Supplementary Angle Measure Angle θ has the explicitly stated measure 104°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation76° Supplementary measures sum to 180°; 180−104=76, so the answer is 76°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0016/) Angle · qf-angle-supplement-measure · candidate ## 67. Supplementary Angle Measure Angle θ has the explicitly stated measure 111°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation69° Supplementary measures sum to 180°; 180−111=69, so the answer is 69°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0017/) Angle · qf-angle-supplement-measure · candidate ## 68. Supplementary Angle Measure Angle θ has the explicitly stated measure 118°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation62° Supplementary measures sum to 180°; 180−118=62, so the answer is 62°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0018/) Angle · qf-angle-supplement-measure · candidate ## 69. Supplementary Angle Measure Angle θ has the explicitly stated measure 125°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation55° Supplementary measures sum to 180°; 180−125=55, so the answer is 55°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0019/) Angle · qf-angle-supplement-measure · candidate ## 70. Supplementary Angle Measure Angle θ has the explicitly stated measure 132°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation48° Supplementary measures sum to 180°; 180−132=48, so the answer is 48°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0020/) Angle · qf-angle-supplement-measure · candidate ## 71. Supplementary Angle Measure Angle θ has the explicitly stated measure 139°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation41° Supplementary measures sum to 180°; 180−139=41, so the answer is 41°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0021/) Angle · qf-angle-supplement-measure · candidate ## 72. Supplementary Angle Measure Angle θ has the explicitly stated measure 146°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation34° Supplementary measures sum to 180°; 180−146=34, so the answer is 34°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0022/) Angle · qf-angle-supplement-measure · candidate ## 73. Supplementary Angle Measure Angle θ has the explicitly stated measure 153°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation27° Supplementary measures sum to 180°; 180−153=27, so the answer is 27°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0023/) Angle · qf-angle-supplement-measure · candidate ## 74. Supplementary Angle Measure Angle θ has the explicitly stated measure 160°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation20° Supplementary measures sum to 180°; 180−160=20, so the answer is 20°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0024/) Angle · qf-angle-supplement-measure · candidate ## 75. Supplementary Angle Measure Angle θ has the explicitly stated measure 179°. Find an integer-degree measure supplementary to θ; adjacency is not required and no value is inferred from a diagram. View answer and explanation1° Supplementary measures sum to 180°; 180−179=1, so the answer is 1°. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-supplement-measure-0025/) Angle · qf-angle-supplement-measure · candidate ## 76. Relation Between Two Explicit Angle Measures Angles α=20° and β=70° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationcomplementary α+β=20+70=90°. Therefore the angles are complementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0001/) Angle · qf-angle-pair-relation · candidate ## 77. Relation Between Two Explicit Angle Measures Angles α=45° and β=45° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationcomplementary α+β=45+45=90°. Therefore the angles are complementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0002/) Angle · qf-angle-pair-relation · candidate ## 78. Relation Between Two Explicit Angle Measures Angles α=30° and β=150° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationsupplementary α+β=30+150=180°. Therefore the angles are supplementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0003/) Angle · qf-angle-pair-relation · candidate ## 79. Relation Between Two Explicit Angle Measures Angles α=80° and β=100° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationsupplementary α+β=80+100=180°. Therefore the angles are supplementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0004/) Angle · qf-angle-pair-relation · candidate ## 80. Relation Between Two Explicit Angle Measures Angles α=10° and β=20° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationneither α+β=10+20=30°. Therefore the angles are neither. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0005/) Angle · qf-angle-pair-relation · candidate ## 81. Relation Between Two Explicit Angle Measures Angles α=60° and β=60° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationneither α+β=60+60=120°. Therefore the angles are neither. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0006/) Angle · qf-angle-pair-relation · candidate ## 82. Relation Between Two Explicit Angle Measures Angles α=1° and β=179° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationsupplementary α+β=1+179=180°. Therefore the angles are supplementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0007/) Angle · qf-angle-pair-relation · candidate ## 83. Relation Between Two Explicit Angle Measures Angles α=89° and β=1° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationcomplementary α+β=89+1=90°. Therefore the angles are complementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0008/) Angle · qf-angle-pair-relation · candidate ## 84. Relation Between Two Explicit Angle Measures Angles α=90° and β=90° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationsupplementary α+β=90+90=180°. Therefore the angles are supplementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0009/) Angle · qf-angle-pair-relation · candidate ## 85. Relation Between Two Explicit Angle Measures Angles α=100° and β=70° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationneither α+β=100+70=170°. Therefore the angles are neither. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0010/) Angle · qf-angle-pair-relation · candidate ## 86. Relation Between Two Explicit Angle Measures Angles α=40° and β=50° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationcomplementary α+β=40+50=90°. Therefore the angles are complementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0011/) Angle · qf-angle-pair-relation · candidate ## 87. Relation Between Two Explicit Angle Measures Angles α=12° and β=78° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationcomplementary α+β=12+78=90°. Therefore the angles are complementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0012/) Angle · qf-angle-pair-relation · candidate ## 88. Relation Between Two Explicit Angle Measures Angles α=75° and β=105° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationsupplementary α+β=75+105=180°. Therefore the angles are supplementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0013/) Angle · qf-angle-pair-relation · candidate ## 89. Relation Between Two Explicit Angle Measures Angles α=135° and β=45° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationsupplementary α+β=135+45=180°. Therefore the angles are supplementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0014/) Angle · qf-angle-pair-relation · candidate ## 90. Relation Between Two Explicit Angle Measures Angles α=25° and β=65° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationcomplementary α+β=25+65=90°. Therefore the angles are complementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0015/) Angle · qf-angle-pair-relation · candidate ## 91. Relation Between Two Explicit Angle Measures Angles α=88° and β=92° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationsupplementary α+β=88+92=180°. Therefore the angles are supplementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0016/) Angle · qf-angle-pair-relation · candidate ## 92. Relation Between Two Explicit Angle Measures Angles α=15° and β=15° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationneither α+β=15+15=30°. Therefore the angles are neither. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0017/) Angle · qf-angle-pair-relation · candidate ## 93. Relation Between Two Explicit Angle Measures Angles α=72° and β=18° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationcomplementary α+β=72+18=90°. Therefore the angles are complementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0018/) Angle · qf-angle-pair-relation · candidate ## 94. Relation Between Two Explicit Angle Measures Angles α=120° and β=30° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationneither α+β=120+30=150°. Therefore the angles are neither. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0019/) Angle · qf-angle-pair-relation · candidate ## 95. Relation Between Two Explicit Angle Measures Angles α=37° and β=53° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationcomplementary α+β=37+53=90°. Therefore the angles are complementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0020/) Angle · qf-angle-pair-relation · candidate ## 96. Relation Between Two Explicit Angle Measures Angles α=110° and β=50° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationneither α+β=110+50=160°. Therefore the angles are neither. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0021/) Angle · qf-angle-pair-relation · candidate ## 97. Relation Between Two Explicit Angle Measures Angles α=60° and β=130° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationneither α+β=60+130=190°. Therefore the angles are neither. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0022/) Angle · qf-angle-pair-relation · candidate ## 98. Relation Between Two Explicit Angle Measures Angles α=2° and β=88° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationcomplementary α+β=2+88=90°. Therefore the angles are complementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0023/) Angle · qf-angle-pair-relation · candidate ## 99. Relation Between Two Explicit Angle Measures Angles α=179° and β=1° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationsupplementary α+β=179+1=180°. Therefore the angles are supplementary. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0024/) Angle · qf-angle-pair-relation · candidate ## 100. Relation Between Two Explicit Angle Measures Angles α=33° and β=44° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither? View answer and explanationneither α+β=33+44=77°. Therefore the angles are neither. [Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260922-angle-pair-relation-0025/) Angle · qf-angle-pair-relation · candidate [Canonical question JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20260922-angle-foundations/questions.jsonl) · [English JSONL](https://ocme.evemisslab.com/data/i18n/questions/batch-20260922-angle-foundations.en.jsonl) · [Validation report](https://ocme.evemisslab.com/data/questions/batches/batch-20260922-angle-foundations/validation-report.json)