SOLUTION: The sum of an angle's complementary and supplementary is 124. Find the measure of the angle.

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Question 505000: The sum of an angle's complementary and supplementary is 124. Find the measure of the angle.
Answer by oberobic(2304) About Me  (Show Source):
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a + c = 90
a + s = 180
c + s = 124
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set up as a system of equations
1a + 1c + 0s = 90
1a + 0c + 1s = 180
0a + 1c + 1s = 124
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add the first 2 equations and subtract the 3rd
1a + 1c + 0s = 90
1a + 0c + 1s = 180
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2a + 1c + 1s = 270
0a + 1c + 1s = 124
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2a +0c + 0s = 146
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a = 73
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Check this answer.
c = 90-73 = 17
s = 180-73 = 107
c+s = 124
Correct.
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Answer: Angle is 73.
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Done.