# Problem from a Math Competition

Geometry Level 5

A circle with center $$O$$ is internally tangent to two circles inside it at points $$S$$ and $$T$$.The two internal circles intersect at $$M$$ and $$N$$ such that $$S$$,$$N$$ and $$T$$ are collinear. Find $$\angle OMN$$(in degrees).

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