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In Figure, bisectors of /B\ a n d\ /D of...

In Figure, bisectors of `/_B\ a n d\ /_D` of quadrilateral `A B C D` meet `C D\ a n d\ A B` produced at `P\ a n d\ Q` respectively. Prove that `/_P+/_Q=1/2(/_A B C+/_A D C)dot`

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