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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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