SOLUTION: An angle is 12 degrees less than twice its supplement. Find the angle.

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Question 1128767: An angle is 12 degrees less than twice its supplement. Find the angle.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Supplementary angles are two angles that have a sum of 180°.
let's an angle be alpha
its supplement is 180-alpha°

if alpha is 12 degrees less than twice its supplement, we have
alpha=2%28180-alpha%29-12
alpha=360-2alpha-12
alpha%2B2alpha=348

3alpha=348

alpha=348%2F3
alpha=116°


and its supplement is 180-alpha°->180-116°->64°