SOLUTION: Find the measures of two supplementary angles if one angle is 18 degrees more than twice the other.
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Question 562402: Find the measures of two supplementary angles if one angle is 18 degrees more than twice the other.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Find the measures of two supplementary angles if one angle is 18 degrees more than twice the other.
.
Let x = measure of one of the angles
then from "18 degrees more than twice the other" we have
2x+18 = measure of second angle
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Then, because they are "supplementary":
x + 2x+18 = 180
3x+18 = 180
3x = 162
x = 54 degrees
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Second angle:
2x+18 = 2(54)+18 = 108+18 = 126 degrees
.
answer: 54 and 126 degrees
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