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

August 27, 2021 | education

| **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˚.

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