SOLUTION: the measure of an angle is 12 degrees less than the measure of its supplement. find the measure of the angle and the measure of its supplement.

Algebra ->  Angles -> SOLUTION: the measure of an angle is 12 degrees less than the measure of its supplement. find the measure of the angle and the measure of its supplement.      Log On


   

Question 215289: the measure of an angle is 12 degrees less than the measure of its supplement. find the measure of the angle and the measure of its supplement.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
The measure of an angle is 12 degrees less than the measure of its supplement. Find the measure of the angle and the measure of its supplement.

Step 1. Supplementary angles means that two angles add up to 180 degrees.

Step 2. Let x be one angle and 180-x be its supplementary angle.

Step 3. Since the measure of an angle is 12 degrees less than the measure of its supplement, then x=180-x-12 or 2x=168 or x=84 and 180-x=96.

Step 4. ANSWER: The angle is 84 degrees and its supplementary angle is 96 degrees.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J