SOLUTION: A supplement of an angle is six times as large as a complement of the angle. Find the measures of the angle, its supplement, and its complement.

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Question 340644: A supplement of an angle is six times as large as a complement of the angle. Find the measures of the angle, its supplement, and its complement.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2BC=90
2.A%2BS=180
3.S=6C
Subtract eq. 1 from eq. 2,
A%2BS-A-C=180-90
S-C=90
Substitute from eq. 3,
6C-C=90
5C=90
highlight%28C=18%29degrees
Then
S=6%2818%29
highlight%28S=108%29degrees
.
.
.
A=90-18
highlight%28A=72%29degrees