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On a circumscribed pentagon

Source: St. Petersburg MO 2001 Grade 9 Problem 3

March 1, 2023
geometrySt. Petersburg MOpentagoncircumscribed

Problem Statement

A convex pentagon ABCDEABCDE is given with AB=BCAB=BC, CD=DECD=DE and A=C=E>90\angle A=\angle C=\angle E>90^{\circ}. Prove that the pentagon is circumscribed
[I]Proposed by F. Baharev