SOLUTION: I am having difficulties with solving this problem and hope you can help. Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle

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Question 329759: I am having difficulties with solving this problem and hope you can help.
Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 76.5' Find the measures of the angles.
What is the measure of the smaller angle?
What is the measure of the other angle?
Thanks :o)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 76.5' Find the measures of the angles.
What is the measure of the smaller angle?
What is the measure of the other angle?
-----------------
f + s = 90
f + s/4 = 76.5
---------------- Subtract
3s/4 = 13.5
s = 18 2nd angle
f = 72 1st angle