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acute among triangles by reg. 1997-gon - All-Russian MO 1997 Regional (R4) 9.1

Source:

September 23, 2024
geometrycombinatoricscombinatorial geometryacute

Problem Statement

A regular 19971997-gon is divided into triangles by non-intersecting diagonals. Prove that exactly one of them is acute-angled.