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Math Help - Proving that two angles are equal

  1. #1
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    Proving that two angles are equal

    In triangle ABC the line :CD is altitude on :AB,if the point : P is on the side :CD. the line AP intersect :CB in the point :Q and the line: BP intersect CA in the point :R

    how to prove that angle RDC= angle QDC?
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  2. #2
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    Re: Proving that two angles are equal

    The book "Challenging Problems in Geometry" by Posamentier and Salkind, part of which is available in Google books, has this question as problem 8-25 on p. 41. It suggests proving this fact using Ceva's theorem. A solution using this theorem, as well as a couple of other solutions, is available here on Yahoo answers.
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    Re: Proving that two angles are equal

    That is help ,thank you
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  4. #4
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    Re: Proving that two angles are equal

    Is there a way to prove that by using trigonometry ?
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