SOLUTION: One of two supplementary angles measures 37 degrees less than four times the other. Find the measure of each angle.
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Question 13270: One of two supplementary angles measures 37 degrees less than four times the other. Find the measure of each angle. Answer by bam878s(77) (Show Source):
You can put this solution on YOUR website! we know supplementary angles add up to 180 degrees
so for angle 1 (a1) and angle 2 (a2)
we have a1+a2=180 and a1=4a2-37
sub a1 in the first equation to get
4a2-37+a2=180
add 37 to both sides to get
5a2=217
divide both sides bt 5
a2=43.4
now sub this back in the first equation
a1=180-a2=180-43.4=136.6
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