Question 149
On the sides $BC$ and $CD$ of the parallelogram $ABCD$ the points $E$ and $F$, respectively, are taken such that $\frac{EB}{EC}=p$ and $\frac{FC}{FD}=q$. Let $M$ be the intersection point of the lines $AE$ and $BF$, and $N$ the intersection point of the lines $DE$ and $BF$. Determine the values of the ratios $\frac{AM}{ME}$ and $\frac{DN}{NE}$.