Question 1204: Classifying an Explicit Angle Measure

Original question and givens

Angle θ has the explicitly stated integer measure 24°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?

• G001 — Angle θ has the explicitly stated integer measure 24°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?

Definition and scope

Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.

• mko-angle

Step-by-step derivation

angle measurements are explicit integers in degrees

classification uses values, not diagram appearance

θ=24°

acute:0<θ<90; right:θ=90; obtuse:90<θ<180; straight:θ=180

θ−90 := sub(24, 90)

θ−90 = -66

θ=24°; θ−90=-66

category=acute angle

Reverse checks

• S004 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S003 · premise_and_result_audit — Recompute θ−90 with exact rational arithmetic, not rounded decimals.
• S002 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.

Result

acute angle

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

Review date: 2026-10-26

Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.