Question 141
In the interior of a trapezoid $ABCD$ with $AB \parallel CD$ a point $T$ is chosen such that $\angle ATD = \angle CTB$. The second intersection point of the line $AT$ with the circumcircle of $ACD$ is $K$. The second intersection point of the line $BT$ with the circumcircle of $BCD$ is $L$. Show that $KL \parallel AB$.