Question 34
Let $M$ and $N$ be the midpoints of the sides $AB$ and $BC$ of the triangle $ABC$ respectively. Points $K$ and $L$ are the tangency points of the inscribed circle of the triangle $ABC$ with the sides $AB$ and $AC$ respectively. Let $T$ be the intersection point of the lines $MN$ and $KL$. Prove that $T$ belongs to the bisector of the angle $ACB$.