Please solve! 50 points

36

Step-by-step explanation:

First of all, the area of a circle is always pi(r)^2, which we can then substitute values. We will get pi(10)^2, and once we simplify that, we get 100pi as the area. Since we know that the area of the shaded sector is 10 pi, we can divide 10pi by 100pi to get 1/10. 1/10 is the area of the shaded sector compared to the area of the whole circle. Multiply 1/10 by the angle measure of a circle, which is 360, to get 36 degrees.