One of the adjacent corners is 4 times smaller than the other. Find a bigger one.

Given:
angle AOB and angle BOC are adjacent,
angle AOB = 4 * angle BOC.
Find the degree measures of the angle AOB and the angle BOC -?
Solution:
Consider the adjacent angles AOB and BOS. Beam IN is their common side. Angle AOC – expanded. Let the angle BОС = x degrees, then the angle AOB = 4 * x degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
4 * x + x = 180;
x * (4 + 1) = 180;
x * 5 = 180;
x = 180: 5;
x = 36 degrees – the degree measure of the BОС angle;
36 * 4 = 144 degrees – the degree measure of the angle AOB.
Answer: 36 degrees; 144 degrees.