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

September 23, 2021 | education

| **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.