Question 11
Let $ABC$ be a right-angled triangle with the right angle at $C$. Let the points $K$, $L$ and $M$ lie on the sides $CA$, $AB$ and $BC$, respectively, so that the angle $\angle MLK$ is a right angle and $|KC| = |KL|$. Prove that the bisectors of the angles $\angle AKL$ and $\angle LMB$ are parallel.