Question 147
Let $E$ be the intersection of diagonals of a cyclic quadrilateral $ABCD$. A line through $E$ intersects with circumcircle of $BCE$ at $K$ ($K \neq E$), and intersects with the circumcircle of $CDE$ at $L$ ($L \neq E$). If the lines $KB, LD$ meet at $S$, then prove that the line $AS$ and $KL$ parallel.