SOLUTION: Half the supplement of an angle is 12 degrees less than twice the complement of the angle. Find the measure of the larger angle.

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Question 342971: Half the supplement of an angle is 12 degrees less than twice the complement of the angle. Find the measure of the larger angle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

1.A%2BC=90
2.A%2BS=180
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.
.
%281%2F2%29S=2C-12
Multiply both sides by 2.
3.S=4C-48
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.
.
Subtract eq. 1 from eq. 2,
A%2BS-A-C=180-90
S-C=90
Substitute eq. 3,
%284C-48%29-C=90
3C-48=90
3C=138
C=46 degrees
Then,
S-46=90
highlight%28S=136%29 degrees