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˚.
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