SOLUTION: Two angles are complementary. The sum of the measure of the first angle and one- fourth the second angle is 82.5 degree. Find the measures of the angles.

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Question 263730: Two angles are complementary. The sum of the measure of the first angle and one- fourth the second angle is 82.5 degree. Find the measures of the angles.
Answer by mananth(16946) About Me  (Show Source):
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Two angles are complementary. The sum of the measure of the first angle and one- fourth the second angle is 82.5 degree. Find the measures of the angles.
Let one angle be x
The other angle will be 90-x
X+1/4(90-x)= 82.5 Take LCD on the fractions
4x+90 –x= 4*82.5
3x= 330-90
X=240/3 = 80
So other angle = 10