SOLUTION: 1/3 the measure of a supplement of a certain angle is equal to 15 less than the measure of a complement of that angle. find the measures of the three angles.

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Question 1055427: 1/3 the measure of a supplement of a certain angle is equal to 15 less than the measure of a complement of that angle. find the measures of the three angles.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F3%29S=C-15
and
A%2BS=180
A%2BC=90
So,
S-C=180-90
S-C=90
Substituting,
3%28C-15%29-C=90
3C-45-C=90
2C=135
C=135%2F2
So then,
A%2B135%2F2=180%2F2
A=45%2F2
and
S-135%2F2=180%2F2
S=315%2F2