Question

In parallelogram PQRS,angle P + angle R =156.If angle R = a + 35, find the value of a.
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Answer 1

Answer:

In a parallelogram, opposite angles are equal

P and R are opposite angles

Therefore P=R.......(1)

It is given that P + R = 156......(2)

Substituting (1) in (2)

R + R = 156

2R = 156

R = 156/2

R = 78°

Now,

R = a + 35

78 = a + 35

a = 78 - 35

a = 43°

The value of a = 43°

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