SOLUTION: an angle is equal to one half its supplement. find the supplement

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Question 343458: an angle is equal to one half its supplement. find the supplement
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BS=180
.
.
A=%281%2F2%29S
S=2A
Substituting,
A%2B2A=180
3A=180
highlight%28A=60%29degrees
Then
S=2%2860%29
highlight%28S=120%29degrees

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
BY DEFINITION THE SUM OF SUPPLEMENTARY ANGLES IS 180 DEGREES!
S%5B1%5D%2BS%5B2%5D=180
THE QUESTION STATES THE FOLLOWING TO BE TRUE:
S%5B2%5D=+S%5B1%5D%2F2
SUBSITUTE
S%5B1%5D%2B%28S%5B1%5D%2F2%29+=180
SIMPLY: MULTIPLY EACH TERM IN THE EQUATION BY 2
2%28S%5B1%5D%29%2B%28S%5B1%5D%29+=360
COMBINE
3S%5B1%5D=360
SOLVE:
DIVIDE EACH SIDE OF THE EQUATION BY 3
S%5B1%5D=120 YOU HAVE FOUND THAT SUPPLEMENT!!

CHECK YOUR ANSWER!! 120 +(120/2) = 180