Question

PQRS is a parallelogram in which SPQ = 70°
and SQR = 65°. Find ØRSQ and PSQ.
​

Answer 1

Answer:

Opposite angles of a parallelogram are equal.

Therefore,angle SPQ= angle SRQ = 70°

In ∆SQR,

Angle RSQ + angle SQR + angle SRQ = 180°

➠Angle RSQ = 180°- 65°-70°

➠Angle RSQ = 45°

Angle PSQ = 180°- angle RSQ

➠Angle PSQ = 180°-45°

➠Angle PSQ= 135°

Therefore, angle RSQ = 45° and angle PSQ= 135°

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Hope it will help you......

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