# Bulgaria National Olympiad Problem 2

Geometry Level 5

Let $$ABC$$ be an equilateral triangle with an area $$7$$ and let $$M,N$$ be points on sides $$AB,AC,$$ respectively, such that $$AN=BM$$ and $$BM < MA$$. Denote by $$O$$ the intersection of $$BN$$ and $$CM$$. Assume that triangle $$BOC$$ has area $$2$$.

Find $$\angle AOB$$ in degrees.

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