# A geometry problem

Geometry Level pending

A circle with center $$O$$ passes through points $$A$$ and $$C$$ and intersects the sides $$AB$$ and $$BC$$ of $$\triangle ABC$$ at points $$K$$ and $$N$$, respectively. The circumcircles of triangles $$\triangle ABC$$and $$\triangle KBN$$ meet at distinct points $$B$$ and $$M$$. Find the measure of $$\angle OMB$$?

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