One of the adjacent angles is 10 degrees larger than the other. What is the magnitude of each of the adjacent angles?

Let us denote by the variable x the degree value of the smaller of the two adjacent angles.

Therefore, according to the condition of the problem, the degree value of the larger of the two adjacent angles, we can express through (x + 10).

Knowing that the adjacent angles together form an unfolded angle, the degree value of which, by definition, is equal to 180 °, we draw up an equation and determine the degree value of each of the adjacent angles:

x + x +10 = 180;

2x = 170;

x = 85;

85 + 10 = 95.

Answer: The smaller of the adjacent angles is 85 °, the larger is 95 °.