# A triangle and a Pentagon meet ...

Geometry Level 3

$$ABCDE$$ is a regular pentagon. $$FAD$$ is an equilateral triangle, such that points $$F$$ and $$E$$ are on the same side of line $$AD$$. What is the measure (in degrees) of $$\angle FAB$$?

Details and assumptions

Line $$AD$$ bisects the plane into two half planes. 2 points will lie on the same side of line $$AD$$ if they lie in the same half plane.

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