Question 343188
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 = {{{348/3}}}
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