The OC beam divides the swept angle AOB into two adjacent angles AOC and BOC so that the angle AOC

The OC beam divides the swept angle AOB into two adjacent angles AOC and BOC so that the angle AOC is 3 times the angle BOC. Find the angle AOC and angle BOC.

Adjacent corners are formed when two straight lines intersect. The sum of two adjacent angles is

180 degrees. We will solve this problem using an equation with one unknown.

one). The degree measure of the BOC angle is x degrees.

2). The degree measure of the AOC angle is x * 3 = 3x degrees.

3). Let’s compose and solve the equation.

x + 3x = 180;

4x = 180;

x = 180/4 = 45;

x = 45;

Answer: The degree measure of the AOC angle is x = 45 degrees, the degree measure of the AOC angle is

x * 3 = 45 * 3 = 135 degrees.