Find the value of adjacent angles if one of them is 5 times larger than the other.

Given:
angle AOB and angle BOC are adjacent,
angle AOB = 5 * angle BOC.
Find the degree measures of the angle AOB and angle BOC -?
Solution:
Consider the adjacent angles AOB and BOC. Beam IN is their common side. Angle AOC – expanded. Let the angle BOS = x degrees, then the angle AOB = 5 * x degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
5 * x + x = 180;
x * (5 + 1) = 180;
x * 6 = 180;
x = 180: 6;
x = 30 degrees – the degree measure of the BOC angle;
30 * 5 = 150 degrees – the degree measure of the angle AOB.
Answer: 30 degrees; 150 degrees.