One of the adjacent angles is 48 degrees larger than the other. Find these corners.

Adjacent corners are two corners that have one common vertex and one common side. The adjacent angles together make up a flat angle, which is 180 degrees. Then:
angle 1 + angle 2 = 180 degrees.
Let angle 1 = x, then angle 2 = x + 48 (by condition):
x + x + 48 = 180;
2x = 132;
x = 132/2;
x = 66.
Angle 1 = x = 66 degrees, angle 2 = x + 48 = 66 + 48 = 114 degrees.
Answer: angle 1 = 66 degrees, angle 2 = 114 degrees.