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

Given:
angle AВO and angle OBC adjacent,
AВO angle = 5 * OBC angle.
Find the degree measures of the angle ABO and the angle OBC -?
Solution:
1) Let the angle OBC = x degrees, then the angle ABO = 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 OBC angle;
2) 30 * 5 = 150 degrees – the degree measure of the AВO angle.
Answer: 150 degrees; 30 degrees.