Inside the angle AOB equal to 120, the OC beam is drawn, find the angles AOC and BOC

Inside the angle AOB equal to 120, the OC beam is drawn, find the angles AOC and BOC if the BOC angle is 2/3 of the AOC angle

1. Let’s denote the angle AOC through x.

2. Determine the value of the VOS angle:

(2/3) * x = (2/3) x.

3. Let’s compose and solve the equation:

x + (2/3) x = 120˚;

(1 2/3) x = 120˚;

(5/3) x = 120˚;

x = 120˚: (5/3);

x = 120˚ * (3/5);

x = (120˚ * 3) / 5;

x = 360˚ / 5;

x = 72˚.

4. The AOC angle is x = 72˚.

5. What is the degree measure of the BOC angle?

120˚ – 72˚ = 48˚

Answer: the AOC angle is 72˚; the VOS angle is 48˚.