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In triangle PQR, side QR is produced to S. The exterior angle PRS = 125°. If angle PQR = 2 times angle QPR, find angle QPR.

Class 7Exterior Angle PropertyTriangles

A45.67
B41.67
C83.34
D37.67

Step-by-Step Solution

Let angle QPR =

a

, then angle PQR =

2 a

. Exterior angle PRS =

a + 2 a = 3 a = 125

, so

a = \frac{125}{3} = 41.67

deg (approx).

Answer: B) 41.67

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