SOLUTION: The ratio of the complement of an angle to its supplement is 1 to 4. Find the measure of the angle.

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Question 56311This question is from textbook Algebra for College Students
: The ratio of the complement of an angle to its supplement is 1 to 4. Find the measure of the angle. This question is from textbook Algebra for College Students

Answer by venugopalramana(3286) About Me  (Show Source):
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The ratio of the complement of an angle(X SAY) to its supplement is 1 to 4. Find the measure of the angle.
COMPLEMENT = 90-X
SUPPLEMENT =180-X
RATIO= (90-X)/(180-X) = 1/4
4(90-X)=180-X
360-4X=180-X
4X-X = 360-180=180
3X=180
X=60