Question 87
Two perpendicular chords of a circle, $A M$, $B N$, which intersect at point $K$, define on the circle four arcs with pairwise different length, with $A B$ being the smallest of them. We draw the chords $A D$, $B C$ with $A D \parallel B C$ and $C, D$ different from $N, M$. If $L$ is the point of intersection of $D N$, $M C$ and $T$ the point of intersection of $D C$, $K L$, prove that $\angle K T C = \angle K N L$.
