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.
Angle θ has the explicitly stated integer measure 1°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
acute angle
θ=1°. Applying the fixed degree intervals gives acute angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 7°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
acute angle
θ=7°. Applying the fixed degree intervals gives acute angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 15°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
acute angle
θ=15°. Applying the fixed degree intervals gives acute angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 24°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
acute angle
θ=24°. Applying the fixed degree intervals gives acute angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 38°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
acute angle
θ=38°. Applying the fixed degree intervals gives acute angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 45°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
acute angle
θ=45°. Applying the fixed degree intervals gives acute angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 59°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
acute angle
θ=59°. Applying the fixed degree intervals gives acute angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 72°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
acute angle
θ=72°. Applying the fixed degree intervals gives acute angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 89°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
acute angle
θ=89°. Applying the fixed degree intervals gives acute angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 90°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
right angle
θ=90°. Applying the fixed degree intervals gives right angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 91°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
obtuse angle
θ=91°. Applying the fixed degree intervals gives obtuse angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 97°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
obtuse angle
θ=97°. Applying the fixed degree intervals gives obtuse angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 105°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
obtuse angle
θ=105°. Applying the fixed degree intervals gives obtuse angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 113°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
obtuse angle
θ=113°. Applying the fixed degree intervals gives obtuse angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 120°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
obtuse angle
θ=120°. Applying the fixed degree intervals gives obtuse angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 128°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
obtuse angle
θ=128°. Applying the fixed degree intervals gives obtuse angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 137°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
obtuse angle
θ=137°. Applying the fixed degree intervals gives obtuse angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 149°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
obtuse angle
θ=149°. Applying the fixed degree intervals gives obtuse angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 159°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
obtuse angle
θ=159°. Applying the fixed degree intervals gives obtuse angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 171°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
obtuse angle
θ=171°. Applying the fixed degree intervals gives obtuse angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 179°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
obtuse angle
θ=179°. Applying the fixed degree intervals gives obtuse angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 180°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
straight angle
θ=180°. Applying the fixed degree intervals gives straight angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 2°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
acute angle
θ=2°. Applying the fixed degree intervals gives acute angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 63°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
acute angle
θ=63°. Applying the fixed degree intervals gives acute angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
Angle θ has the explicitly stated integer measure 146°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?
obtuse angle
θ=146°. Applying the fixed degree intervals gives obtuse angle.
Reviewed step-by-step derivation
Angle · qf-angle-degree-classification · candidate
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.
89°
Complementary measures sum to 90°; 90−1=89, so the answer is 89°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
86°
Complementary measures sum to 90°; 90−4=86, so the answer is 86°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
83°
Complementary measures sum to 90°; 90−7=83, so the answer is 83°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
80°
Complementary measures sum to 90°; 90−10=80, so the answer is 80°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
77°
Complementary measures sum to 90°; 90−13=77, so the answer is 77°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
74°
Complementary measures sum to 90°; 90−16=74, so the answer is 74°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
71°
Complementary measures sum to 90°; 90−19=71, so the answer is 71°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
68°
Complementary measures sum to 90°; 90−22=68, so the answer is 68°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
65°
Complementary measures sum to 90°; 90−25=65, so the answer is 65°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
62°
Complementary measures sum to 90°; 90−28=62, so the answer is 62°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
59°
Complementary measures sum to 90°; 90−31=59, so the answer is 59°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
56°
Complementary measures sum to 90°; 90−34=56, so the answer is 56°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
53°
Complementary measures sum to 90°; 90−37=53, so the answer is 53°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
50°
Complementary measures sum to 90°; 90−40=50, so the answer is 50°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
47°
Complementary measures sum to 90°; 90−43=47, so the answer is 47°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
44°
Complementary measures sum to 90°; 90−46=44, so the answer is 44°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
41°
Complementary measures sum to 90°; 90−49=41, so the answer is 41°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
38°
Complementary measures sum to 90°; 90−52=38, so the answer is 38°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
35°
Complementary measures sum to 90°; 90−55=35, so the answer is 35°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
32°
Complementary measures sum to 90°; 90−58=32, so the answer is 32°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
29°
Complementary measures sum to 90°; 90−61=29, so the answer is 29°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
26°
Complementary measures sum to 90°; 90−64=26, so the answer is 26°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
20°
Complementary measures sum to 90°; 90−70=20, so the answer is 20°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
13°
Complementary measures sum to 90°; 90−77=13, so the answer is 13°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
1°
Complementary measures sum to 90°; 90−89=1, so the answer is 1°.
Reviewed step-by-step derivation
Angle · qf-angle-complement-measure · candidate
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.
179°
Supplementary measures sum to 180°; 180−1=179, so the answer is 179°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
175°
Supplementary measures sum to 180°; 180−5=175, so the answer is 175°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
168°
Supplementary measures sum to 180°; 180−12=168, so the answer is 168°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
161°
Supplementary measures sum to 180°; 180−19=161, so the answer is 161°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
154°
Supplementary measures sum to 180°; 180−26=154, so the answer is 154°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
147°
Supplementary measures sum to 180°; 180−33=147, so the answer is 147°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
140°
Supplementary measures sum to 180°; 180−40=140, so the answer is 140°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
133°
Supplementary measures sum to 180°; 180−47=133, so the answer is 133°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
126°
Supplementary measures sum to 180°; 180−54=126, so the answer is 126°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
119°
Supplementary measures sum to 180°; 180−61=119, so the answer is 119°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
112°
Supplementary measures sum to 180°; 180−68=112, so the answer is 112°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
105°
Supplementary measures sum to 180°; 180−75=105, so the answer is 105°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
98°
Supplementary measures sum to 180°; 180−82=98, so the answer is 98°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
90°
Supplementary measures sum to 180°; 180−90=90, so the answer is 90°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
83°
Supplementary measures sum to 180°; 180−97=83, so the answer is 83°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
76°
Supplementary measures sum to 180°; 180−104=76, so the answer is 76°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
69°
Supplementary measures sum to 180°; 180−111=69, so the answer is 69°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
62°
Supplementary measures sum to 180°; 180−118=62, so the answer is 62°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
55°
Supplementary measures sum to 180°; 180−125=55, so the answer is 55°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
48°
Supplementary measures sum to 180°; 180−132=48, so the answer is 48°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
41°
Supplementary measures sum to 180°; 180−139=41, so the answer is 41°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
34°
Supplementary measures sum to 180°; 180−146=34, so the answer is 34°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
27°
Supplementary measures sum to 180°; 180−153=27, so the answer is 27°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
20°
Supplementary measures sum to 180°; 180−160=20, so the answer is 20°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
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.
1°
Supplementary measures sum to 180°; 180−179=1, so the answer is 1°.
Reviewed step-by-step derivation
Angle · qf-angle-supplement-measure · candidate
Angles α=20° and β=70° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
complementary
α+β=20+70=90°. Therefore the angles are complementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=45° and β=45° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
complementary
α+β=45+45=90°. Therefore the angles are complementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=30° and β=150° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
supplementary
α+β=30+150=180°. Therefore the angles are supplementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=80° and β=100° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
supplementary
α+β=80+100=180°. Therefore the angles are supplementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=10° and β=20° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
neither
α+β=10+20=30°. Therefore the angles are neither.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=60° and β=60° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
neither
α+β=60+60=120°. Therefore the angles are neither.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=1° and β=179° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
supplementary
α+β=1+179=180°. Therefore the angles are supplementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=89° and β=1° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
complementary
α+β=89+1=90°. Therefore the angles are complementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=90° and β=90° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
supplementary
α+β=90+90=180°. Therefore the angles are supplementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=100° and β=70° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
neither
α+β=100+70=170°. Therefore the angles are neither.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=40° and β=50° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
complementary
α+β=40+50=90°. Therefore the angles are complementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=12° and β=78° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
complementary
α+β=12+78=90°. Therefore the angles are complementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=75° and β=105° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
supplementary
α+β=75+105=180°. Therefore the angles are supplementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=135° and β=45° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
supplementary
α+β=135+45=180°. Therefore the angles are supplementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=25° and β=65° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
complementary
α+β=25+65=90°. Therefore the angles are complementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=88° and β=92° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
supplementary
α+β=88+92=180°. Therefore the angles are supplementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=15° and β=15° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
neither
α+β=15+15=30°. Therefore the angles are neither.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=72° and β=18° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
complementary
α+β=72+18=90°. Therefore the angles are complementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=120° and β=30° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
neither
α+β=120+30=150°. Therefore the angles are neither.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=37° and β=53° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
complementary
α+β=37+53=90°. Therefore the angles are complementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=110° and β=50° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
neither
α+β=110+50=160°. Therefore the angles are neither.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=60° and β=130° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
neither
α+β=60+130=190°. Therefore the angles are neither.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=2° and β=88° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
complementary
α+β=2+88=90°. Therefore the angles are complementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=179° and β=1° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
supplementary
α+β=179+1=180°. Therefore the angles are supplementary.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
Angles α=33° and β=44° have explicitly stated integer measures. Using only α+β, are they complementary, supplementary, or neither?
neither
α+β=33+44=77°. Therefore the angles are neither.
Reviewed step-by-step derivation
Angle · qf-angle-pair-relation · candidate
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