Question

if the bisector of adjacent angle P and Q of a parallelogram pqrs intersect at the point O then find angle poq

Answer 1

angle P+angleQ=180....(consecutive interior angle)
devide both side by 2
now
=P+Q/2=180/2
=P/2+Q/2=90.....(1)
=angleP+Q+O=180..(Sum of all angle of a triangle)......(2)
=now put value of eq(1)in(2)
=P/2+Q/2+O=180
=90+O=180
=angle O=90