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In Figure, P Q R S is a parallelogram, P...

In Figure, `P Q R S` is a parallelogram, `P O` and `Q O` are, respectively, the angle bisectors of `/_P` and `/_Qdot` Line `L O M` is drawn parallel to `P Qdot` Prove that : `P L=Q M` (ii) `L O=O M`

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Given `/_1=/_2` and `/_4=/_5`
PS||RQ
PL||MQ
PL||QM and LM||PQ
PLQM is a parallelogram
PL=QM
PQ||LM and QD is traversal
`/_1=/_3`
...
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