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BG-MO 1976 Problem 1

    In a circle with a radius of 11 is an inscribed hexagon (convex). Prove that if the multiple of all diagonals that connects vertices of neighboring sides is equal to 2727 then all angles of hexagon are equals.

    V. Petkov, I. Tonov

    Dataset text AI-MO AoPS. Quoted with source.

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