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circle, triangles with equal areas, angles of a triangle wanted

Source: Norwegian Mathematical Olympiad 2008 - Abel Competition p4a

September 5, 2019
geometrycircleanglesarea

Problem Statement

Three distinct points A,BA, B, and CC lie on a circle with centre at OO. The triangles AOB,BOCAOB, BOC , and COACOA have equal area. What are the possible measures of the angles of the triangle ABCABC ?
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