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!
Algebra ->
Angles
-> 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!
Log On
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