4-3. A circle touches the sides of an angle at points $A$ and $B$. The distance from a point $C$ lying on the circle to the line $A B$ is 6. Find the sum of the distances from point $C$ to the sides of the angle, given that one of these distances is nine times smaller than the other.
Answer: 20. (E)

Answer options.

![](https://cdn.mathpix.com/cropped/2024_05_06_997c53c06135e2de9c16g-04.jpg?height=61&width=721&top_left_y=1754&top_left_x=719)