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

Adjacent corners are angles that have a common vertex and a common side, and together they make up a flat angle that is 180 degrees. Then:
angle 1 + angle 2 = 180 degrees.
we denote angle 1 as x, then angle 2 as 5x (by condition, angle 2 is 5 times greater than angle 1).
x + 5x = 180;
6x = 180;
x = 180/6;
x = 30.
angle 1 = x = 30 degrees, angle 2 = 5x = 5 * 30 = 150 (degrees).
Answer: angle 1 = 30 degrees, angle 2 = 150 degrees.