SOLUTION: Q: The measure of a supplement of an angle is 12 degrees greater than three times the measure of a complement. Find the measure.
I know that the answer is 51 degrees but how do
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Question 774156: Q: The measure of a supplement of an angle is 12 degrees greater than three times the measure of a complement. Find the measure.
I know that the answer is 51 degrees but how do I get there. (This is for my algebra II class)
Found 2 solutions by arKed, MathTherapy:
Answer by arKed(27) (Show Source): You can put this solution on YOUR website!
n1 + n2 = 180
n2 = 12 + 3(n1)
n1 + n2 = 180
n1 + 12 + 3n1 = 180
4n1 + 12 = 180
4n1 = 180 - 12
4n1 = 168
4n1 / 4 = 168 / 4
n1 = 42 degrees ans.
n2 = 12 + (42)
n2 = 138 degrees ans.
checking:
n1 + n2 = 180
42 + 138 = 180
180 = 180
Answer by MathTherapy(10559) (Show Source): You can put this solution on YOUR website!
Q: The measure of a supplement of an angle is 12 degrees greater than three times the measure of a complement. Find the measure.
I know that the answer is 51 degrees but how do I get there. (This is for my algebra II class)
Let angle be A
Then its supplement = 180 - A, and its complement = 90 - A
Therefore, 180 - A = 3(90 - A) + 12
180 - A = 270 - 3A + 12
180 - A = 282 - 3A
- A + 3A = 282 - 180
2A = 102
A, or angle = , or
You can do the check!!
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