# PQRS is a parallelogram. PO and QO are respectively the angle bisectors to angle P and angle Q. line LOM is drawn parallel to PQ. Prove that i. PL=QM and ii. LO=MO

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by Sushant11

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by Sushant11

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ps parallel qr

then,pl parallel qm

and,pq parallel lm(given)

hence pq is a 11gm

pl=qm

2-angle lpo=angle opq

but,angle lpo=angle opq(ALA)

angle lpo=angle lpo

pl=lo

similarly,pl=qm

so,lo=mo