The corners AOB and BOC are adjacent. Find the AOB angle if the BOC angle is 1.5 times the AOB angle.
| June 15, 2021 | education
The sum of adjacent angles is 180, then AOB + OBC = 180.
Let the value of the angle BOC = X0, then, by condition, the value of the angle AOB will be equal to (X * 1.5) 0.
X + 1.5 * X = 180.
2.5 * X = 180.
X = 180 / 2.5 = 72.
Then the angle AOB = 72 * 1.5 = 108.
Answer: Angle AOB = 108.
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