<PRE><B>Question 263730</B>
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
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