Question 22
In the triangle $ABC$ we have $|AB| = 15$, $|BC| = 12$ and $|AC| = 13$. Let the median $AM$ and bisector $BK$ intersect at point $O$, where $M \in BC$, $K \in AC$. Let $OL \perp AB$, where $L \in AB$. Prove that $\angle OLK = \angle OLM$.