Question 9
In an isosceles triangle $ABC$, where $AB=BC$, point $E$ is on the extension of side $AC$, where $C$ is between $A$ and $E$ and point $F$ is on the segment $BE$ such that $AC=CF=FE$ and $\angle BAF=3\angle FAE$, as shown in the diagram below. Find the measure, in degrees, of $\angle FAE$.
