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CN-SMO 2009 Problem 2

    In the convex pentagon ABCDEABCDE we know that AB=DE,BC=EAAB=DE, BC=EA but AB≠EAAB \neq EA . B,C,D,EB,C,D,E are concyclic . Prove that A,B,C,DA,B,C,D are concyclic if and only if AC=AD.AC=AD.

    Dataset text AI-MO AoPS. Quoted with source.

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