Acute Angle Measure

Geometry Level 4

Triangle ABCABC is an acute triangle. Let EE be the foot of the perpendicular from BB to ACAC, let FF be the foot of the perpendicular from C C to ABAB. If 2[AEF]=[ABC] 2[AEF] = [ABC] , what is the measure (in degrees) of BAC\angle BAC ?

Details and assumptions

[PQRS][PQRS] denotes the area of figure PQRSPQRS.

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