1.

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`

Answer» 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`
`/_2=/_3`
`In /_OPL`
`/_2=/_3`
DL=PL
PB||CM and OQ is tangent
`/_4=/_6`
`/_5=/_6`
`In /_OQM`
`/_5=/_6`
OM=QM
Put PL=QM
OL=OM.


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