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3 acute angles is max for convex n-gon, equilateral 1985 Greece MO X p2

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September 8, 2024
geometryconvex polygonEquilateral

Problem Statement

a) Prove that a convex nn-gon cannot have more than 33 interior angles acute. b) Prove that a convex nn-gon that has 33 interior angles equal to 600,60^0, is equilateral.
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