One adjacent angle is 40 ° larger than the other. Find the magnitude of each of the adjacent angles.

It is known from the condition that one adjacent angle is 40 ° larger than the other. In order to find the degree measures of these angles, we will compose and solve the equation.

Let’s start by remembering that the sum of adjacent angles is 180 °.

To compose the equation, we will introduce the variable x, denoting with its help the degree measure of one of the angles, then the second angle can be written as (x + 40).

We add up the amount and equate to 180.

x + (x + 40) = 180;

x + x + 40 = 180;

2x = 180 – 40;

2x = 140;

x = 140: 2;

x = 70 ° smaller angle and 70 + 40 = 110 ° larger angle.