One of the adjacent angles is 20 ° larger than the other. Find a larger angle.

Adjacent corners are two corners that have a common vertex and a common side, together they represent a flat angle that is 180 degrees, then:
angle 1 + angle 2 = 180 degrees.
Let’s denote angle 1 as x, then angle 2 = x + 20 (since angle 2 is 20 degrees greater than angle 1 by condition). Then:
x + x + 20 = 180;
2x = 160;
x = 160/2;
x = 80 degrees.
Angle 1 = x = 80 degrees.
Angle 2 = x + 20 = 80 + 20 = 100 (degrees).
Answer: angle 2 = 100 degrees.