Angle AOB is unfolded, and OC is a beam. Find the degree measures of the angles AOC and COB

Angle AOB is unfolded, and OC is a beam. Find the degree measures of the angles AOC and COB, if the degree gray of the AOC angle is 8 times less than the degree measure of the COB angle.

The expanded angle AOB is 180 degrees.
The OC beam forms two adjacent angles AOC and COB. The sum of adjacent angles is 180 degrees.
Since the degree measure of the AOC angle is 8 times less than the degree measure of the AOC angle, it is true that the degree measure of the AOC angle is 8 times greater than the degree measure of the AOC angle. Let’s denote the AOC angle as x, and the COB angle as 8x, then:
x + 8x = 180;
9x = 180;
x = 180/9;
x = 20.
Angle AOC = x = 20 degrees, angle AOC = 8x = 8 * 20 = 160 (degrees).
Answer: AOC angle = 20 degrees, COB angle = 160 degrees.