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Math Help - angle bisector problem

  1. #1
    Senior Member abhishekkgp's Avatar
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    angle bisector problem

    ABC is a triangle and the line YCX is parallel to AB such that AX and BY are the angle bisectors of \angleA and \angleB respectively.If AX meets BC at D and BY meets AC at E and if YE=XD prove that AC=BC.
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  2. #2
    MHF Contributor
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    You've nothing?

    Hints:

    Alternate Interior Angles of a Transversal cutting two parallel lines

    m\angle X = \frac{1}{2} m\angle A

    m\angle Y = \frac{1}{2} m\angle B

    m\angle ACY = m\angle A

    m\angle BCX = m\angle B

    That's more than nothing and so far I used only one theorem!
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  3. #3
    Senior Member abhishekkgp's Avatar
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    that much i had. also AC=CX and CB=CY. but still i am stuck.
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