SOLUTION: The measure of the angles supplement is 30 degrees more than five times that of its complement . Find the measure of the angle described

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Question 1048892: The measure of the angles supplement is 30 degrees more than five times that of its complement . Find the measure of the angle described
Answer by Fombitz(32388) About Me  (Show Source):
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1.A%2BS=180
2.A%2BC=90
and
S=30%2B5C
Substituting into eq. 1,
A%2B%2830%2B5C%29=180
3.A%2B5C=150
Subtract eq. 2 from eq. 3,
A%2B5C-A-C=150-90
4C=60
C=15
So then,
A%2B15=90
A=75
and
75%2BS=180
S=105