Angles AOB and BOC are adjacent. Find the AOB angle if the BOC angle is 1.5 times the AOB angle.

1. Let’s denote the angle AOB through x.

2. Determine the degree measure of the ВOC angle:

1.5 * x = 1.5x.

3. Since the angles AOB and BOС are adjacent, then we compose and solve the equation:

1.5x + x = 180˚;

2.5x = 180˚;

x = 180˚: 2.5;

x = 72˚.

4. The degree measure of the angle AOB is x = 72˚.

Answer: the degree measure of the angle AOB is 72˚.