# 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 \(\angle OMB\)?