# Problem № 8.2

## Condition:

Given triangle $\mathrm{ABC}$, where $2 \mathrm{BC}=\mathrm{AC}$ and angle $\mathrm{C}=106^{\circ}$. On the ray $\mathrm{BC}$, segment $\mathrm{CX}=$ CB is laid out. Then, from point $\mathrm{X}$, a perpendicular is drawn to the line containing the median of triangle $\mathrm{ABC}$, drawn from vertex $\mathrm{B}$, and the intersection point is $\mathrm{Y}$. What is the measure of angle СХҮ? Express your answer in degrees.
Answer: 53

Exact match of the answer -1 point

Solution by analogy with task №8.1

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