Question 56
Quadrilateral $ABCD$ is circumscribed about a circle $\Lambda$ and $K$, $L$, $M$, $N$ are points of tangency of sides $AB$, $BC$, $CD$, $DA$ with $\Lambda$ respectively. Let $S$ be the intersection point of lines $KM$ and $LN$. If quadrilateral $SKBL$ is cyclic then show that $SNDM$ is also cyclic.