Question 151
Let $ABC$ be an acute angled triangle and $K, L$ be points on $AC, BC$ respectively such that $\angle AKB = \angle ALB$. Let $P$ be the intersection of $AL, BK$ and $Q$ be the midpoint of segment $KL$. Let $T, S$ be the intersection $AL, BK$ with the circumcircle of $ABC$, respectively. Prove that $TK, SL, PQ$ are concurrent.