SOLUTION: the measure of the angle's supplement is 30 degrees more than 4 times that of its complement. find the measure of the angle described
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Question 277449: the measure of the angle's supplement is 30 degrees more than 4 times that of its complement. find the measure of the angle described Answer by J2R2R(94) (Show Source):
You can put this solution on YOUR website! The measure of the angle's supplement is 30 degrees more than 4 times that of its complement. Find the measure of the angle described.
Supplementary angles add up to 180 so if x is the angle its supplement is 180 - x.
Complementary angles add up to 90 so if x is the angle its complement is 90 - x.
We are given that
4 times (90 - x) + 30 = 180 - x
360 - 4x + 30 = 180 - x
210 = 3x
x = 70
Compliment is 90 - 70 = 20
Supplement is 180 - 70 = 110
4 times 20 + 30 = 110
