SOLUTION: The supplementary angle is 15 degrees less than 4 times the complementary angle. Find the angle. In the office, we have come up with two different solutions: 55 degrees and 39 d

Question 100821: The supplementary angle is 15 degrees less than 4 times the complementary angle. Find the angle.
In the office, we have come up with two different solutions: 55 degrees and 39 degrees.
Which one is right?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The supplementary angle is 15 degrees less than 4 times the complementary angle. Find the angle.
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Let the angle be "x".
The complement is "90-x"
The supplement is "180-x"
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Equation:
180-x = 4(90-x)-15
180-x = 360-4x-15
3x = 165
x = 55 degrees (this is "the angle")
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Cheers,
Stan H.

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