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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?

A) 128o

B) 108o

C) 98o

D) 78o

### 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$$^{\circ}$$

## 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$$^{\circ}$$