In triangle $ABC$, $M$ and $N$ are the midpoints of $BC$ and $AC$, respectively.  The perpendicular bisectors of $BC$ and $AC$ intersect at a point $O$ inside the triangle.  If $\angle C = 47^\circ$, then find the measure of $\angle MON$, in degrees.
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<|im_start|>user
In triangle $ABC$, $M$ and $N$ are the midpoints of $BC$ and $AC$, respectively.  The perpendicular bisectors of $BC$ and $AC$ intersect at a point $O$ inside the triangle.  If $\angle C = 47^\circ$, then find the measure of $\angle MON$, in degrees.
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<|im_start|>assistant

user
133^\circ
In triangle $ABC$, $M$ and $N$ are the midpoints of $BC$ and $AC$, respectively.  The perpendicular bisectors of $BC$ and $AC$ intersect at a point $O$ inside the triangle.  If $\angle C = 47^\circ$, then find the measure of $\angle MON$, in degrees.
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