Question 7
Given a triangle $ABC$, let the bisectors of the angles $\angle BAC$, $\angle CBA$, $\angle ACB$ intersect the circumcircle of the triangle $ABC$ at the points $M$, $N$, $K$ respectively. Let $P$ be the intersection of the segments $AB$ and $MK$ and $Q$ be the intersection of the segments $AC$ and $MN$. Prove that the lines $PQ$ and $BC$ are parallel.
(Battsengel B.)
(Battsengel B.)