Question

show that angle poq is equal to 90 degree​

Answer 1

Answer:

angle P + angle Q = 180 ( Corresponding angles)

1/2 angle P + 1/2 angle Q = 90

In triangle PQR:-

Angle POQ 1/2 angle P + 1/2 Angle Q = 180 (Angle sum property )

Angle POQ + 90 = 180

Angle POQ = 90

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Answer 2

Answer:

We know that opp. sides of a llgm are equal and parallel.

So, angle P +angle Q = 180(sum of co-int. angles is 180)

1/2 angle P + 1/2 angle Q =90.

In triangle POQ by angle sum property of triangle :(angle opq +angle oqp) + angle poq = 180

=>90 + angle poq = 180(since op and oq are the bisectors)

=>angle poq = 180 -90

=90