Question 134
On a plane are placed two triangles $ABC$ and $BKL$ such that segment $AK$ is divided into three equal parts by the intersection point of the medians of triangle $ABC$ and the intersection point of the bisectors of triangle $BKL$ ($AK$ is a median of $ABC$, $KA$ is a bisector of $ABKL$), and quadrilateral $KALC$ is a trapezium. Find all angles of triangle $BKL$.