The OC beam divides the AOB into two angles. Find the AOC angle if the AOB angle is 155 degrees and the AOC

The OC beam divides the AOB into two angles. Find the AOC angle if the AOB angle is 155 degrees and the AOC angle is 15 degrees greater than the COB angle.

Let x be the BOC angle. Then AOC will be x + 15
The entire angle AOB is 155
Decision:
x + (x + 15) = 155
2x + 15 = 155
2x = 155-15 = 140
x = 140 ÷ 2
x = 70 ° (angle BOС)
Since the AOC angle is 15
Then the angle AOC will be equal to BOC + 15 = 70 + 15 = 85 °



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