Question

if APB CQD are two parallel lines, then the bisectors of angle APQ, BPQ,CQP PQD form

Answer 1

line APB is parallel to CQD
when we join PQ it will be transversal
then angleBPQ=angleCQP    (alternate angles)
angleAPQ=anglePQD   
when we will draw bisectors 
then the figure formed will have opposite angles equal
which means that it is a parallelogram

Answer 2

line APB is parallel to CQD

when we join PQ it will be transversal

then angleBPQ=angleCQP    (alternate angles)

angleAPQ=anglePQD   

when we will draw bisectors 

then the figure formed will have opposite angles equal

which means that it is a parallelogram