SOLUTION: The measure of an angle exceeds two times its supplement by 6. Find the measure of the angle. This is what I've done so far: 180 - x is its supplement and I let 90 - x be it

Algebra ->  Triangles -> SOLUTION: The measure of an angle exceeds two times its supplement by 6. Find the measure of the angle. This is what I've done so far: 180 - x is its supplement and I let 90 - x be it      Log On


   

Question 650690: The measure of an angle exceeds two times its supplement by 6. Find the measure of the angle.
This is what I've done so far:
180 - x is its supplement and I let 90 - x be its complement
2(90 - x)
180 = 2(90 - x) + 6
174 = 2(-x + 90) = 0
-2(-x + 90) + 174 = 0
2x - 180 + 174 = 0
2x - 6 = 0
2x = 6
x = 3
Is this correct?
Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

The measure of an angle exceeds two times its supplement by 6. Find the measure of the angle.
This is what I've done so far:
180 - x is its supplement and I let 90 - x be its complement
2(90 - x)
180 = 2(90 - x) + 6
174 = 2(-x + 90) = 0
-2(-x + 90) + 174 = 0
2x - 180 + 174 = 0
2x - 6 = 0
2x = 6
x = 3
Is this correct?

No, it's not!!

The angle's supplement = 180 - x. The angle's complement (90 - x) is not needed.

The equation should be set up as follows:

x = 2(180 - x) + 6

Now solve for x and you'll have the angle's measurement.

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