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angle chasing in a regular hexagon, 45^o given

Source: 2008 Oral Moscow Geometry Olympiad grades 8-9 p3

October 13, 2020
geometryangleshexagon

Problem Statement

In the regular hexagon ABCDEFABCDEF on the line AFAF, the point XX is taken so that the angle XCDXCD is 45o45^o. Find the angle FXE\angle FXE.
(Kiev Olympiad)