Line segment OC splits AOB into two angles. Find AOC, if AOB = 155 degree, and m COB is 15 degrees less than m AOC.

Answer:
Step-by-step explanation:
The diagram representing the scenario is shown in the attached photo. From the photo, lines AO, BO and CO meet at a common point O. Since angle AOB is 155 degrees and angle COB is 15 degrees lesser, then angle COB is
155 - 15 = 140 degrees
Recall, the sum of the angles at a point is 360 degrees. Therefore, the sum of the angles at point O is
Angle AOC + 140 + 155 = 360
Angle AOC + 295 = 360
Angle AOC = 360 - 295 = 65 degrees