Find the degree measures of adjacent angles, the difference of the degree measures of which is 23 degrees.

The solution of the problem:
Adjacent angles are formed when two straight lines intersect. The sum of two adjacent angles is 180 degrees.
1. One of the adjacent angles is x degrees.
2. Let’s calculate what the other adjacent angle is equal to.
(180 – x) degrees.
3. Let’s compose and solve the equation.
(180 – x) – x = 23;
180 – x – x = 23;
180 – 23 = x + x;
157 = 2x;
x = 157/2;
x = 78.5;
4. The degree measure of one angle is x = 78.5 degrees.
5. The degree measure of the other angle is 180 – x = 180 – 78.5 = 101.5 degrees.
Answer: One adjacent angle is 78.5 degrees, the other is 101.5 degrees.