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On the angle bisector (Posted on 2020-12-25) Difficulty: 3 of 5
Points $P$ and Q lie respectively on sides AB and AC of a triangle ABC and BP=CQ. Segments BQ and CP cross at R. Circumscribed circles of triangles BPR and CQR cross again at point S different from R. Prove that point S lies on the bisector of angle BAC.

No Solution Yet Submitted by Danish Ahmed Khan    
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