Question 76
Point $M$ is marked inside a convex quadrilateral $ABCD$. It appears that $AM = BM$, $CM = DM$, and $\angle AMB = \angle CMD = 60^\circ$. Let $K$, $L$, and $N$ be the midpoints of the segments $BC$, $AM$, and $DM$, respectively. Find the value of the angle $LKN$.
(S. Mazanik)
(S. Mazanik)