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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