Question

In the parallelogram PQRS, PO and QO are bisector of angle P And angle Q, respectively. Find the measure of angle POQ. ​

Answer 1

Answer:

Angle POQ = 90°

Step-by-step explanation:

Since SR || PQ

Angle SPQ + Angle RQP=180°

1/2SPQ + 1/2RQP=90°

Now by angle sum property of triangle we get,

Angle POQ+Angle QPO+Angle OQP = 180°

90°+ Angle POQ = 180°

Angle POQ =180°-90°

Angle POQ =90°