The $ABCDE$ pentagon is inscribed in a circle and $AB = BC = CD$. Segments $AC$ and $BE$ intersect at $K$, and Segments $AD$ and $CE$ intersect at point$ L$. Prove that $AK = KL$.
Problem
Source: Czech-Polish-Slovak Junior Match 2013, Individual p3 CPSJ
Tags: equal segments, geometry, pentagon, Cyclic