The difference between adjacent angles is 54 degrees. Find these corners.

Given:
angle AOC and angle COB adjacent angles,
angle BОС – angle AOS = 54 degrees.
Find the degree measure of the adjacent angles AOC and COB -?
Solution:
Consider the adjacent angles AOC and COB.
Let the degree measure of the AOC angle is x degrees, then the degree measure of the COB angle is 54 + x degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + 54 + x = 180;
x + x = 180 – 54;
x + x = 126;
x * (1 + 1) = 126;
x * 2 = 126;
x = 126: 2;
x = 63 degrees – AOC angle;
63 + 54 = 117 degrees is the COB angle.
Answer: 63 degrees; 117 degrees.