The circle is divided into three sectors. The sum of the angles of the first and second sectors is 200.

The circle is divided into three sectors. The sum of the angles of the first and second sectors is 200. The sum of the angles of the second and third sectors is 290. What is the angle of the second sector?

To solve this problem, we introduce a conditional variable “X”, through which we denote the value of the angle of the second sector.

Let’s take into account the fact that the sum of all three sectors is 360 degrees.

Then, based on the data of the problem, we will compose the following equation: X = 290 – (360 -200).

Solving this equation, we get X equal to 130 degrees.

Answer: the angle of the second sector is 130 degrees.