The OC beam divides the deployed angle AOB so that the degree measure of the AOC

The OC beam divides the deployed angle AOB so that the degree measure of the AOC angle is 48 “greater than the degree measure of the BOC angle. Find the degree measures of the AOC and BOC angles.

1.Let’s assume that the ВOC angle formed by one side of the unfolded angle and the beam is equal to x degrees.

2. Then another angle AOC adjacent to it, formed by the other side and the ray will be equal to

(x + 48) degrees.

3. Let’s make an equation and find the angle of the ВOС.

x + x + 48 = 180;

2x = 180 – 48 = 132;

x = 132/2 = 66 °.

Answer: The AOC angle is x = 66 °, the AOC angle is x + 48 = 66 + 48 = 114 °.