# Acute Angle Measure

Geometry Level 4

Triangle $ABC$ is an acute triangle. Let $E$ be the foot of the perpendicular from $B$ to $AC$, let $F$ be the foot of the perpendicular from $C$ to $AB$. If $2[AEF] = [ABC]$, what is the measure (in degrees) of $\angle BAC$?

Details and assumptions

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

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