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Math Help - Orthic Triangle and Angle Bisector

  1. #1
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    Orthic Triangle and Angle Bisector

    Firstly, it's really hard to enter a "descriptive title" for this, but that's beside the point

    Anyways, here's the problem I have:

    If PP', QQ' and RR' are altitudes of triangle PQR, and X and Y are points on P'R' and Q'R' respectively such that \angle XPY=\angle P'PR, prove that PX bisects \angle R'XY.

    I've done substantial angle chasing with the orthic triangle, but I can't seem to prove that it is an angle bisector. I've used only 2 pronumerals for angles: \alpha for \angle P'PR and \theta for \angle R'XP and I'm trying to prove \angle PXY is also \theta. Is this the correct/ a good approach? If not, what'd be better? Some hints would do fine, all I've got atm is a huge bunch of angle chasing rubbish
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  2. #2
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    Dec 2008
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    Ah well, never mind, I finally found a solution
    The trick was finding the millions of cyclic quads (ok, slightly exaggerated...)

    I can post my sol'n up here if anyone wants it, but otherwise, see ya guys later
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