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

Algebra ->  Angles -> 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      Log On


   

Question 345375: 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 Fombitz(32388) About Me  (Show Source):
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1.G%2BC=90
2.G%2BS=180
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C%2FS=1%2F4
3.S=4C
Subtracting eq. 1 from eq. 2,
G%2BS-G-C=180-90
S-C=90
Substitute from eq. 3,
4C-C=90
3C=90
highlight%28C=30%29degrees
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S-30=90
highlight%28S=120%29degrees
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G%2BS=180
highlight%28G=60%29degrees
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highlight_green%28G%2FS=60%2F120=1%2F2%29