SOLUTION: The measure of the angle's complement is one-fourth of its supplement. Find the measure of the angle.

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Question 334160: The measure of the angle's complement is one-fourth of its supplement. Find the measure of the 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
3.C=%281%2F4%29S
Subtract eq. 1 from eq. 2,
A%2BS-A-C=180-90
S-C=90
Substitute eq. 3,
S-S%2F4=90
%283%2F4%29S=90
S=120degrees
C=S%2F4=30degrees
A=90-C=60degrees