One of the adjacent corners is five times smaller than the second. What is the degree measure of these angles?

To find the degree measure of the angles, we will compose and solve the equations.

But first of all, let’s see what we know from the problem statement.

The condition says that one of the adjacent corners is 5 times smaller than the other.

So, we know that the corners are adjacent. We also know that the sum of adjacent angles is 180 °.

Let us denote by the variable x the degree measure of the smaller angle. Then the degree measure of the larger angle is 5x.

x + 5x = 180;

x (1 + 5) = 180;

6x = 180;

x = 180: 6;

x = 30 ° smaller angle and 30 * 5 = 150 ° larger angle.