SOLUTION: The sum of the measures of two complementary angles is 90 degrees. If one angle measures 21 degrees more than twice the measure of the​ other, find the measure of the smaller

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Question 1025561: The sum of the measures of two complementary angles is 90 degrees. If one angle measures 21 degrees more than twice the measure of the​ other, find the measure of the smaller angle.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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S=smaller angle; L=larger angle=2S+21 degrees
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S + L = 90 degrees
S + (2S+21 degrees) = 90 degrees
3S + 21 degrees=90 degrees
3S = 69 degrees
S = 23 degrees
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ANSWER: The measure of the smaller angle is 23 degrees.
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