One of the adjacent corners is 40% larger than the other. Find the degree measure of adjacent angles?

Let’s denote the smaller angle through x.
Then the second angle will be 40% larger and will be:
x + x * 40/100 = x + 0.4 * x = 1.4 * x.

Adjacent corners have a common side and together make up a 180º unfolded angle:
x + 1.4 * x = 180;
2.4 * x = 180;
x = 75º – the smaller of the adjacent angles.

1.4 * x = 1.4 * 75 = 105º – the larger of the adjacent angles.

Answer: The degrees of the adjacent angles are 75º and 105º.