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In the figure shown, PQS is a straight line. What is the value of <PRQ?


Question

In the figure shown, PQS is a straight line. What is the value of <PRQ?

Options

A) 128o

B) 108o

C) 98o

D) 78o

The correct answer is D.

Explanation:

< QPR + < PRQ = < RQS
(Sum of two interior angles of a triangle = Opposite exterior angles)
70\(^{\circ}\) + < PRQ = 148
< PRQ = 148\(^{\circ}\) - 70\(^{\circ}\)
= 78\(^{\circ}\)

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Dicussion (1)

  • < QPR + < PRQ = < RQS
    (Sum of two interior angles of a triangle = Opposite exterior angles)
    70\(^{\circ}\) + < PRQ = 148
    < PRQ = 148\(^{\circ}\) - 70\(^{\circ}\)
    = 78\(^{\circ}\)

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