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Question

What will be the measure of PQR,
if ZXY = 25° ?

A
25°
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B
15°
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C
35°
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D
10°
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Solution

The correct option is B 15°
Given, in triangles, PQR and XYZ,
side RP = side ZX = 6cm
QRP = YZX = 140°
side QR = side YZ = 9cm

by SAS criterion for congruency of triangles, PQR XYZ

So,
RQP = ZXY = 25° (corresponding parts)

In triangle, PQR,
PQR = 180° - (RQP + QRP)
PQR = 180° - (25° + 140°)
PQR = 15°

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