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    Find angles of triangle if AB+AD=CD and AC+AD=BC (very hard for me)

    This question is much harder than it looks. I tried for a very long time but could not solve it. Let AD be the angle bisector of angle A in triangle ABC. Given that AB+AD=CD and AC+AD=BC, find the angles of triangle ABC. @below Sorry I understand now. I tried a ton of law of cosines bashing...
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