SOLUTION: Two angles are complementary, the sum of the measure of the first angle and 1/4 the second angle is 60 degrees. Find the measures of the angles. Please help. Smaller angle? Oth

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Question 200027: Two angles are complementary, the sum of the measure of the first angle and 1/4 the second angle is 60 degrees. Find the measures of the angles. Please help.
Smaller angle?
Other angle?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
complementary means they add to 90º

let f="1st angle" and s="2nd angle"

"Two angles are complementary" ___ f + s = 90º

"the sum of the measure of the first angle and 1/4 the second angle is 60 degrees" ___ f + (1/4 s) = 60º

subtracting the 2nd equation from the 1st equation ___ 3/4 s = 30º

dividing by 3/4 ___ s = 40º

substituting ___ f + 40º = 90º ___ f = 50º