One of the angles is 43 degrees larger than the other. Find these adjacent angles?

To find the degree measure of adjacent angles, we will compose and solve an equation.

From the condition we know that one of the adjacent angles is 43 ° larger than the other.

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

To compose the equation, 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 + 43) °.

Let’s make the equation:

x + (x + 43) = 180;

x + x + 43 = 180;

2x = 180 – 43;

2x = 137;

x = 137: 2;

x = 68.5 ° is a smaller angle, then 68.5 + 43 = 111.5 ° is a larger angle.