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dissect a regular 10gon into 2regular polygons

Source: Sharygin Geometry Olympiad 2016 Final Round problem 4 grade 8

July 22, 2018
geometrypolygoncutregular polygon

Problem Statement

Is it possible to dissect a regular decagon along some of its diagonals so that the resulting parts can form two regular polygons?
by N.Beluhov