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Perpendiculars in cyclic quadrilateral (Posted on 2020-12-16) Difficulty: 3 of 5
Let ABCD be a cyclic quadrilateral. The diagonals AC and BD meet at P, and DA and CB meet at Q. Suppose PQ is perpendicular to AC. Let E be the midpoint of AB. Prove that PE is perpendicular to BC.

No Solution Yet Submitted by Danish Ahmed Khan    
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