SOLUTION: The ratio of an angle to its supplement is 3:7. Find the Ratio of the angle to it's complement. PLEASE Help

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Question 507543: The ratio of an angle to its supplement is 3:7. Find the Ratio of the angle to it's complement. PLEASE Help
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the angle, S the supplement, and C the complement.
By definition,
1.A%2BC=90
2.A%2BS=180
It's given that,
A%2FS=3%2F7
3S=7A
S=%287%2F3%29A
From eq. 2,
A%2BS=180
A%2B%287%2F3%29A=180
%2810%2F3%29A=180
A=180%2A%283%2F10%29
A=54
Then from 1,
A%2BC=90
54%2BC=90
C=90-54
C=36
Then
A%2FC=54%2F36=9%2F6=highlight%283%2F2%29