One of the adjacent angles is 40 degrees smaller than the other. Find its degree measure.

In order to find the degree measure of adjacent angles, we will recall the definition of adjacent angles and their properties.

The condition says that one of the adjacent angles is 40 ° smaller than the other.

Let’s remember the definition of adjacent corners. So, adjacent angles are called angles in which one side is common, and the other sides lie on one straight line.

We also know that the sum of adjacent angles is 180 °.

Let’s designate x as one of the adjacent corners, then write the second as (x – 40).

We get the equation:

x + (x – 40) = 180;

x + x – 40 = 180;

2x = 180 + 40;

2x = 220;

x = 110 ° is one of the corners and 110 – 40 = 70 ° is the second angle.