Question

PQRS is a parallelogram. OP and OQ are bisectors of angle P and angle Q. Prove that angle POQ is 90°.

Answer 1

Answer:

angle POQ= 90°

Step-by-step explanation:

angleP + angle Q =180°

OP and OQ are bisectors

therefore

(angle OPQ+ angle OQP)=

1/2 (angle P + angle Q ) =180/2=90°

in ∆POQ

angle POQ+(angle OPQ+angle OQP)=180

angle POQ+ 90°=180°

angle POQ =180°-90°=90°