Question 118
Let $\omega$ be a circumscribed circle of $ABC$. Chord $AD$ is a bisector of triangle $ABC$ and meets $BC$ at $L$, chord $DK$ is perpendicular to $AC$ and meets it at $M$. Find the ratio $\frac{AM}{MC}$, if $\frac{BL}{LC} = \frac{1}{2}$.
Fig.15
Fig.15