The difference between adjacent angles is 32 degrees, find these angles.

Let’s solve this problem using the equation.
Let one of the adjacent angles be x degrees, then the second of the adjacent angles is (x + 32) degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + x + 32 = 180;
x + x = 148;
x * (1 + 1) = 148;
x * 2 = 148 (in order to find an unknown factor, you need to divide the product by a known factor);
x = 148: 2;
x = 74 degrees – one of the adjacent angles;
74 + 32 = 106 degrees is the second of the adjacent angles.
Answer: 87 and 106 degrees.