Question

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

Answer 1

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

Answer 2

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