MathDB
<FXE inside regular hecagon (Kyiv City Olympiad 2005 8.5 9.5)

Source:

June 27, 2020
geometryangleshexagonRegular

Problem Statement

Let ABCDEFABCDEF be a regular hexagon. On the line AFAF mark the point XXso that DCX=45o \angle DCX = 45^o . Find the value of the angle FXEFXE.
(Vyacheslav Yasinsky)