An OC beam is drawn inside the right angle AOB. Find the degree measures of the angles AOC

An OC beam is drawn inside the right angle AOB. Find the degree measures of the angles AOC and COB if the AOC angle is 4 times less than the COB angle.

1. Suppose the angle AOC formed by the side of the right angle AOB and the beam OC is x degrees.

2. Determine what the angle of the COB is equal to.

x * 4 = 4x degrees.

3. To determine the degree measure of the angle AOC, we will compose the equation.

x + 4x = 90;

5x = 90;

x = 90/5 = 18 °.

Answer: The AOC angle is x = 18 °, the COB angle is x * 4 = 18 * 4 = 72 °.