2. In a parallelogram PORS, the bisectors of 4P and 2Q meet at O. Find – InterviewSolution

1.

2. In a parallelogram PORS, the bisectors of 4P and 2Q meet at O. Find POO.

Answer»

In parallelogram PQRS, ∠P + ∠ Q = 180°So (∠P + ∠ Q)/2 = 180°/2∠OPQ + ∠OQP = 90° ......(1)

We know in ∆POQ∠OPQ + ∠OQP + ∠POQ = 180°From (1)∠POQ = 180° - 90° = 90°

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