9000121708

Consider a square $ABCD$ and a point $E$ on the side $BC$ such that the angle $BAE$ has measure ${20}^{\circ }$. The point $F$ is on the side $CD$ and the length of $AF$ equals to the length of $AE$ (i.e. the triangle $AEF$ is isosceles with $AF$ and $AE$ of equal length). Find the measure of the angle $AEF$.