# Problem 8.3

## Condition:

Given triangle $\mathrm{ABC}$, where $2 \mathrm{BC}=\mathrm{AC}$ and angle $\mathrm{C}=46^{\circ}$. On the ray $\mathrm{BC}$, segment $\mathrm{CM}=$ CB is marked. Then, from point M, a perpendicular is drawn to the line containing the median of triangle $\mathrm{ABC}$, drawn from vertex $\mathrm{B}$, and the intersection point is N. What is the measure of angle CMN? Express your answer in degrees.
Answer: 23

Exact match of the answer - 1 point

Solution by analogy with task №8.1

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