Find the angles of the sectors of the circle, if they relate like 3: 4: 5.

The magnitude of the angles of all sectors of the circle (in this case from 3) is equal to 360 degrees.

By the condition of the problem, we take:

1st sector – 3 parts.

2nd sector – 4 parts.

3rd sector – 5 parts.

Find the value of one part: 360 / (3 + 4 + 5) = 360/12 = 30.

Then the value of the 1st sector is 3 * 30 = 90 degrees, the 2nd sector is 4 * 30 = 120 degrees, the 3rd sector is 5 * 30 = 150.