Q1. [1] § 6.1 Introduction § 6.3 Similarity of Triangles § 6.5 Summary
If $\triangle ABC \sim \triangle PQR$, $\angle A = 32°$ and $\angle R = 65°$, then the measure of $\angle B$ is:
- (a) $32°$
- (b) $65°$
- (c) $83°$
- (d) $97°$
Previously asked in CBSE board exam
2023 30/2/1 Q3
Generated by claude-sonnet-4-6 · 2026-06-15 10:24 · grounding rag
Model Answer
(c) 83°
Since △ABC ~ △PQR, corresponding angles are equal: ∠A = ∠P = 32°, ∠C = ∠R = 65°.
∴ ∠B = 180° − 32° − 65° = 83°
Explanation
When two triangles are similar, their corresponding angles are equal in the order of the vertices given. Here A↔P, B↔Q, C↔R, so ∠C = ∠R = 65°. Then use the angle sum property (∠A + ∠B + ∠C = 180°) to find ∠B. The common mistake is confusing which angles correspond — always follow the vertex order in the similarity statement.
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