Beam OA divided the deployed angle BOC into two angles. The degree measure of one of them is 4 times

Beam OA divided the deployed angle BOC into two angles. The degree measure of one of them is 4 times the degree of the other. What are the resulting angles?

Let the AOC angle be the smaller angle. We introduce the variable x and so the angle AOC will be denoted.
Then, according to the condition of the problem, the angle AOB is 4x.
Since the unfolded angle has a degree measure of 180 °, we get the following equation:
x + 4x = 180,
5x = 150,
x = 36 ° is the degree measure of the smaller AOC angle.
4 * 36 ° = 144 ° – the degree measure of the greater ВOC angle.
Answer: 36 ° and 144 ° degree measures of the resulting angles.