# Cyclic Quadrilaterals Geometry

Geometry Level 3

A circle with center $$O$$ passes through the vertices $$A$$ and $$C$$ of triangle $$ABC$$ and intersects segments $$AB$$ and $$BC$$ again at distinct points $$K$$ and $$N$$, respectively. The circumcircles of triangles $$ABC$$ and $$KBN$$ intersects at exactly two distinct points $$B$$ and $$M$$. What is the value of $$\angle OMB$$?

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