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

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

The OC beam divides the unfolded angle AOB given by the condition into two angles. We introduce the variable x and denote by it the degree measure of the smaller of the two angles. The COB angle is x, then the AOC angle is 3x. In sum, these angles give the angle AOB, we get the equation:
x + 3x = 180
4x = 180
x = 45 ° – the angle of the COB.
3 * 45 = 135 ° – AOC angle.
Examination:
135 ° + 45 ° = 180 °.
Answer: the degree measure of the AOC angle is 135 °, the COB angle is 45 °.