The OC beam divides the unfolded angle AOB into two adjacent angles AOC and BOC

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

Let’s solve this problem using the equation.

Let the AOC angle be x degrees, then the second of the adjacent AOC angles is 3 * x degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:

x + 3 * x = 180;

x * (1 + 3) = 180;

x * 4 = 180 (in order to find an unknown factor, you need to divide the product by a known factor);

x = 180: 4;

x = 45 degrees – the degree measure of the VOC angle;

45 * 3 = 135 degrees – the degree measure of the AOC.

Answer: 45 and 135 degrees.