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

August 31, 2021 | education

| 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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