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concurrency in cyclic hexagon,AB=BC, CD=DE, EF=FA (2020 Kyiv City MO 8.5.1)

Source:

September 20, 2020
geometryconcurrencyconcurrentCyclichexagonequal segments

Problem Statement

Let ABCDEFABCDEF be a hexagon inscribed in a circle in which AB=BC,CD=DEAB = BC, CD = DE and EF=FAEF = FA. Prove that the lines AD,BEAD, BE and CFCF intersect at one point.
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