How do you find adjacent angles if one of them is 50 degrees larger than the other?

It is known from the condition that one of the adjacent angles is 50 degrees larger than the other. We need to find the degree measures of these angles.

Let’s remember the adjacent corners property. The sum of adjacent angles is 180 °.

We denote by x ° the degree measure of the smaller angle, then the degree measure of the larger angle is (x + 50) °.

We compose and obtain the equation:

x + (x + 50) = 180;

We solve the resulting equation:

x + x + 50 = 180;

2x = 180 – 50;

2x = 130;

x = 130: 2;

x = 65 ° the degree measure of the smaller angle and (65 + 50) = 115 ° the larger angle.