Find measures of adjacent angles if one of them is 56 degrees greater than the other.

In order to find the degree measure of adjacent angles, we will compose and solve the equation.

The condition says that one of the adjacent angles is 56 ° larger than the other.

According to the properties of adjacent angles, their sum is 180 °.

To compose the equations, we need to introduce the variable x, denote with its help the degree measure of one of the angles, then we write the second angle as (x + 56) °.

Let’s make the equation:

x + (x + 56) = 180;

x + x + 56 = 180;

2x = 180 – 56;

2x = 124;

x = 124: 2;

x = 62 ° is a smaller angle, then 62 + 56 = 118 ° is a larger angle.