Question

In a quadrilateral PQRS, PO and QO are the bisectors of angle P and angle Q respectively. Prove that angle POQ = 1/2 (angle R + angle S)

Answer 1

Answer:

Step-by-step explanation:

in poq.

poq +1/2 p + 1/2 + q =180

(angle sum property of triangle)

now poq. =180-(1/2p+1/2q)

=180-1/2(p+q)

= 180-1/2{360-(s+r)}

=180. -1/2. *360 +1/2(s+r)

=180-180 +1/2(s+r)

=0+1/2(s+r)

now. poq=1/2(s+r)

hence proved