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Math Help - Prove that lines are perpendicular

  1. #1
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    Prove that lines are perpendicular

    There is given convex quadrilateral ABCD. And internal bisectors of angle A and C intersect in point X. And internal bisectors of angle B and D intersect in point Y. And XAY = 90 . Prove that XCY = 90. I've noticed that AY is the external bisector of A. Please help me !

    http://i.stack.imgur.com/tX0ue.png)
    Last edited by Jack92; December 6th 2012 at 03:21 AM.
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  2. #2
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    Re: Prove that lines are perpendicular

    You mean DY? It seems that the situation you describe can arise only if Y is outside the quadrilateral.
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