# 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 $$FCB$$?

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