Question 13
Let $ABCD$ be a square, where point $E$ lies on the extension of $CB$ such that $\angle BAE=30^\circ$, and point $G$ lies on $AD$ such that $\angle BCG=60^\circ$, as shown in the diagram below. If the area of triangle $CGF$ is $X$ and the area of triangle $BEF$ is $Y$, what is the ratio of $X:Y$?
