How to solve: the measure of an angle is 12 less than twice the measure of its supplement. What is the measure of the angle?

2 answers

x + (2x - 12) = 180
3x - 12 = 180
3x = 180
+ 12
____

3x =192

192/3= x
let the angle be x
then its supplement is 180-x

x = 2(180-x) - 12
x = 360 - 2x - 12
3x = 348
x = 116

check:
if the angle is 116
its supplement is 64
twice the supplement is 128
12 less than twice the supplement = 128-12 = 116
YEAH!