MathNet 2019-part-03 — 184 problems (EN–VI) Question 140

Let $A B C D E F$ be a hexagon inscribed in a circle such that $A B = B C$, $C D = D E$ and $E F = A F$. Prove that the segments $A D$, $B E$ and $C F$ are concurrent (that is, they have a common point).