## Task A-1.2.

Given is a right triangle $A B C$ with a right angle at vertex $C$. Let $N$ be the foot of the altitude from vertex $C$, $M$ the midpoint of the hypotenuse, and $L$ the intersection of the angle bisector of the right angle with the hypotenuse. If the measure of angle $\varangle L C N$ is $15^{\circ}$, determine the measure of angle $\varangle M C L$.