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

This Is a Certified Answer

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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
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2014-12-19T12:11:35+08:00

This Is a Certified Answer

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Complementary\ angles\ where\ x+y=90\° \\ \\ Let\ \underline{x}\ be\ the\ smaller\ angle. \\ Let\ \underline{5x}\ be\ the\ larger\ angle. \\ \\ Where\ x+5x=90\° \\ \\ Solution; \\ x+5x=90\° \\ \\ 6x=90\° \\ \\  \frac{6x}{6}=\frac{90\°}{6} \\ \\ \boxed{x=15\°} \\ \\ Solving\ for\ the\ larger\ angle\ where\ x\to15\° \\ \\ Solution; \\ 5x=larger\ angle \\ \\ 5(15\°)=larger\ angle \\ \\ \boxed{75\°\to\ larger\ angle}

Checking; \\ x+5x=90\° \\ \\ 15\°+5(15\°)=90\° \\ \\ 15\°+75\°=90\° \\ \\\boxed{90\°=90\°}\ \underline{TRUE} \\ \\ Hope\ it\ Helps:) \\ Domini
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