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angles of a convex n-gon are a,2a, ... ,na

Source: 2001 Estonia National Olympiad Final Round grade 11 p1

March 12, 2020
anglesconvexpolygongeometry

Problem Statement

The angles of a convex nn-gon are a,2a,...,naa,2a, ... ,na. Find all possible values of nn and the corresponding values of aa.
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