The OC beam divides the AOB angle by 80 degrees. the AOB angle is 80 degrees

The OC beam divides the AOB angle by 80 degrees. the AOB angle is 80 degrees on two angles so one of them is 3 times the other. Find AOC, BOC.

1. Let us denote the degree measure of the AOC angle through x.

2. Determine the degree measure of the ВOC angle:

3 * x = 3x.

3. Since the angle AOB = angle AOC + angle BOC, compose and solve the equation:

3x + x = 80˚;

4x = 80˚;

x = 80˚: 4;

x = 20˚.

4. The degree measure of the AOC angle is x = 20˚.

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

3 * x = 3 * 20˚ = 60˚.

Answer: the degree measures of the angles AOC and BOC are equal to 20˚ and 60˚.