SOLUTION: An angle is 12 less than one half of its supplement. What is the supplement?

Question 493997: An angle is 12 less than one half of its supplement. What is the supplement?
Found 2 solutions by cleomenius, MathTherapy:
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
x + 2x + 12 = 180
3x = 168
x = 56 degrees the angle
180 =56 = 124 degrees the supplement.
124 - 12 = 112 \2 = 56 degrees.
This does check.
Cleomenius.

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
An angle is 12 less than one half of its supplement. What is the supplement?

Let the angle be A

Then its supplement is 180 - A

Then:

2A = 180 - A - 24 --------- Multiply by LCD, 2

3A = 156

A, or the angle = , or

Its supplement is therefore: (180 - 52)

---------
Check
---------
The angle:

Its supplement : . its supplement = or 64

As seen, the angle is less than half its supplement (64)

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