# Two angles are complementary. The measure of one angle is one fifth of the measure of its complement. Find the measure of the smaller angle.

2
by darp

2014-12-19T00:48:52+08:00

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We all know that complementary angles are angles that when added together, they will have a sum of 90 degrees. Here is the linear equation:
x=smaller angle
y or 5x = larger angle
y + x = 90 degrees
5x+x = 90 degrees

6x = 90 degrees
6x/6 = 90 degrees/6
x = 15 degrees
So:
The smaller angle = x = 15 degrees
The larger angle = y = 5x = 15 degrees(5) = 75 degrees
The 2 angles have degrees of 15 degrees and 75 degrees.
Check:
15 (5) = 75
75 =75, Correct

15 + 75 = 90
90 = 90, Correct
2014-12-19T12:11:35+08:00

### This Is a Certified Answer

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