SOLUTION: if the degree measures of two complementary angles are in ratio of 5:18 what is the measure of the smaller angle?

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Question 199253This question is from textbook amsco's geometry
: if the degree measures of two complementary angles are in ratio of 5:18 what is the measure of the smaller angle? This question is from textbook amsco's geometry

Found 2 solutions by Earlsdon, ankor@dixie-net.com:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Try this:
5x%2B18x+=+90
23x+=+90 Divide both sides by 23.
x+=+3.913
highlight%285x+=+19.565%29degrees. This is the measure of the smaller angle.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
if the degree measures of two complementary angles are in ratio of 5:18
what is the measure of the smaller angle?
:
Let x = the smaller angle
then
(90-x) = the larger angle
:
Write a ratio equation
5%2F18 = x%2F%28%2890-x%29%29
cross multiply
18x = 5(90-x)
:
18x = 450 - 5x
18x + 5x = 450
23x = 450
x = 450%2F23
x = 19.565 degrees, the smaller angle