Lines from a TriangleGeometry 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 \(FCB\)?