Lines from a Triangle

Geometry Level 4

Triangle $ABC$ has a right angle at $C$ . $D$ lies on the same side of $AB$ as $C$ , with $\angle BAD = 90^\circ$ and $AD=AB$ . $E$ is the foot of the perpendicular from $B$ to $DC$ . $F$ is a point on $EB$ such that $\angle FAC = 90^\circ$ . What is the measure (in degrees) of $FCB$ ?