SOLUTION: the ratio of the measure of the complement of angle G to the measure of the supplement of the complement of angle G is 1:4 find the ratio of the measure of angle G to the suppleme

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Question 345376: the ratio of the measure of the complement of angle G to the measure of the supplement of the complement of angle G is 1:4
find the ratio of the measure of angle G to the supplement og angle G
use algebra to show your work



Answer by mananth(16949) About Me  (Show Source):
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let measure of G be x
complement will be 90-x
supplement of complement will be 180-(90-x)
=90+x
....
ratio = (90-x)/(90+x)= 1/4
4(90-x)=90+x
360-4x=90+x
add 4x
360-4x+4x=90+x+4x
360=90+5x
add -90
360-90==5x
270=5x
divide by 5
54 = x measure of G
supplement of G = 180-54 = 126
Ratio = 54/126
=3/7