SOLUTION: The Measure of the supplement of an angle is 12 more than four times the complement. Find the measure of the angle.
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Question 99903: The Measure of the supplement of an angle is 12 more than four times the complement. Find the measure of the angle. Found 2 solutions by ankor@dixie-net.com, chaochoa:Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The Measure of the supplement of an angle is 12 more than four times the complement. Find the measure of the angle.
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Let x = an angle
The supplement = (180-x
The complement = (90-x)
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write what it says:
"supplement of an angle is 12 more than four times the complement.
(180 - x) = 4(90 - x) + 12
180 - x = 360 - 4x + 12
180 - x = 372 - 4x
4x - x = 372 - 180
3x = 192
x = 192/3
x = 64 degrees is the angle
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Check solution:
Supplement: 180 - 64 = 116
Complement: 90 - 64 = 26
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Using the statement:
"supplement of an angle is 12 more than four times the complement."
116 = 4(26) + 12
116 = 104 + 12, confirms our solution
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