Question

triangles ABC and PQR are similar triangles such that angleA 32 and angleR 65 then angleB is

A) 83o B) 32o C) 97o D) 65o
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Answer 1

Step-by-step explanation:

Since $∆ABC ~∆PQR$,

By Similarity Criterion,

Angle A = Angle P = 32°

Angle B = Angle Q

Angle C = Angle R = 65°

By angle sum property of triangles,

Angle A + Angle B + Angle C = 180°

By Substituting the values,

32° + Angle B + 65° = 180°

=> Angle B = 180° - 97°

=> Angle B = 83°

Hence (a) is the correct option...

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