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convex cyclic n-gon cut into equal triangles by non-intersecting diagonals

Source: 2010 Oral Moscow Geometry Olympiad grades 10-11 p1

May 8, 2020
geometrycombinatorial geometrycombinatoricsCyclicpolygonconvex polygon

Problem Statement

Convex nn-gon PP, where n>3n> 3, is cut into equal triangles by diagonals that do not intersect inside it. What are the possible values of nn if the nn-gon is cyclic?
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