Given: angle AOB = 180 degrees. Beam- BOC. The angle AOC is 3 times greater than the COB angle.

Given: angle AOB = 180 degrees. Beam- BOC. The angle AOC is 3 times greater than the COB angle. Find: Angle AOC, Angle COB

By the assumption of the problem, the degree measure of the AOC angle is 3 times greater than the degree measure of the COB angle. Let the COB angle be x degrees, then the AOC angle is 3 * x degrees. We know that the AOB angle is 180 degrees. AOB angle = COB angle + AOC angle. Let’s make an equation. x + 3x = 180; 4x = 180; 4 * x = 180 to find an unknown factor, you need to divide the product by a known factor x = 180: 4; x = 45 degrees is the COB angle, then 45 * 3 = 135 degrees is the AOC angle.
Answer: 45 degrees and 135 degrees.