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Bundeswettbewerb Mathematik 1989 Problem 1.3

Source: Bundeswettbewerb Mathematik 1989 Round 1

September 24, 2022
polygongeometryconvex quadrilateralconvex

Problem Statement

A convex polygon is divided into finitely many quadrilaterals. Prove that at least one of these quadrilaterals must also be convex.