# One of the adjacent angles is 38 degrees larger than the other. Find the degree measure of the larger angle.

September 30, 2021 | education

| Let’s solve the problem through the equation:

Let x degrees be the degree measure of the smaller angle from adjacent angles, then the degree measure of the second angle is (x + 38) degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make an equation.

x + x + 38 = 180;

x + x = 180 – 38;

x + x = 142;

x * (1 + 1) = 142;

x * 2 = 142;

x = 142: 2;

x = 71 degrees – the degree measure of the smaller angle from adjacent angles;

71 + 38 = 109 degrees is the degree measure of the larger angle from adjacent angles.

Answer: 109 degrees.

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