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