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Baltic way 93

Source: Easy

August 25, 2007
geometryrectanglerhombusgeometry unsolved

Problem Statement

A convex quadrangle ABCD ABCD is inscribed in a circle with center O O. The angles AOB,BOC,COD AOB, BOC, COD and DOA DOA, taken in some order, are of the same size as the angles of the quadrangle ABCD ABCD. Prove that ABCD ABCD is a square
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