olymmath

BALTIC-WAY 2017 Problem 15

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Let n≥3n \geq 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?

Dataset text NuminaMath olympiads. Quoted with source.

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n-3

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