Find two supplementary angels such that the measure of the first angle is 38° less than three times the measure of the second

angle 1 + angle 2=180 supplementary angles add up to 180

angle 2=x assign angle a variable

angle 1 = 3x-38 find equation for first angle

3x+x-38=180 set both angles added together equal to 180

4x-38=180 combine like terms

4x=218 add 38 to both sides

x=54.5 divide by 4

angle 2 = 54.5

angle 2 = (3x54.5) - 38 plug back in and solve

angle 1 = 125.5

3x-38

x-2nd angle

3x-38+x=180

4x-38=180

4x=218

x=54.5

First angle

3 (54.5) - 38

163.5-38

125.5