Angle AOC = 111 degrees. Beam OB is drawn inside this angle. How many degrees does the OB

Angle AOC = 111 degrees. Beam OB is drawn inside this angle. How many degrees does the OB angle contain if the angle BOC = 36?

According to the condition of the problem, the angle AOS is 111 °. The OB beam divides the AOC angle in such a way that the BOC angle is 36 °. In order to find the AOB angle, it is necessary to subtract the BOC angle from the degree measure of the AOC angle:

111 – 36 = 75 (°) – angle AOB.

Answer: angle AOB = 75 °.