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Maximal number of large angles in an equilateral n-gon

Source: Baltic Way 2017, Problem 15

November 26, 2017
geometrygeometry proposedanglespolygon

Problem Statement

Let n≥3n \ge 3 be an integer. What is the largest possible number of interior angles greater than 180∘180^\circ in an nn-gon in the plane, given that the nn-gon does not intersect itself and all its sides have the same length?
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