SOLUTION: the ratio of the measure of a complement of an angle to the measure of a supplement is 1:3. find the measure of the angle, its complement, and its supplement.

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Question 926774: the ratio of the measure of a complement of an angle to the measure of a supplement is 1:3. find the measure of the angle, its complement, and its supplement.
Answer by Fombitz(32388) About Me  (Show Source):
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By definition,
A%2BC=90
A%2BS=180
Subtracting,
S%2BA-C-A=180-90
S-C=90
Also you know,
C%2FS=1%2F3
S=3C
Substituting,
3C-C=90
2C=90
C=45
Then,
S=3%2845%29
S=135