If $ riangle ABC \sim riangle PQR$, $\angle A = 32°$ and $\angle R = 65°$, then the measure of $\angle B$…

Question

If $	riangle ABC \sim 	riangle PQR$, $\angle A = 32°$ and $\angle R = 65°$, then the measure of $\angle B$ is:

Accepted Answer

## 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.

Mathematics — CBSE Class 10 board question