SOLUTION: What is the measure of an angle that is twelve less than twice the measure of its supplement? Help is greatly appreciated. Thank you!

Question 343188: What is the measure of an angle that is twelve less than twice the measure of its supplement?
Help is greatly appreciated. Thank you!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
What is the measure of an angle that is twelve less than twice the measure of its supplement?
:
Let a = "an angle"
then it's supplement = (180-a)
:
Write an equation for what it says
a = 2(180-a) - 12
a = 360 - 2a - 12
a + 2a = 348
3a = 348
a =
a = 116 degrees is the angle
;
:
See it that is true
116 = 2(180-116) - 12
116 = 2(64) - 12
116 = 128 - 12; confirms our solution of a = 116
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