SOLUTION: one of two Supplementary angles is four times the other. find the larger one

Algebra ->  Angles -> SOLUTION: one of two Supplementary angles is four times the other. find the larger one      Log On


   



Question 215170: one of two Supplementary angles is four times the other. find the larger one
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
One of two Supplementary angles is four times the other. Find the larger one.

Step 1. Supplementary angles add up to 180 degrees.

Step 2. Let x the angle and 4x be its supplementary angle.

Step 3. Then x+4x=180 or 5x=180. Divide by 5 to both sides to get x=36 degrees. With x=36 then 4x=144 degrees.

Step 4. ANSWER: The larger supplementary angle is 144 degrees.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J