SOLUTION: Two angles are complementary. The measure of one angle is one-fifth of the measure its complement. Find the measure of the smaller angle. Please answer this Thank you.Have a

Algebra ->  Angles -> SOLUTION: Two angles are complementary. The measure of one angle is one-fifth of the measure its complement. Find the measure of the smaller angle. Please answer this Thank you.Have a       Log On


   

Question 534980: Two angles are complementary. The measure of one angle is one-fifth of the measure its complement. Find the measure of the smaller angle.

Please answer this Thank you.Have a nice day. :]
Answer by fcabanski(1391) About Me  (Show Source):
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Complimentary angles add up to 90 degrees.


Call the first angle x, and the second (1/5)x. Their sum is 90.


x + (1/5)x = 90 (Add like terms).


(6/5)x=90 (divide both sides by 6, multiple both sides by 5).


x = 90*(5/6) = 75


X is 75, the other angle is (1/5)*75 = 15 degrees.