<PRE><B>Question 215172</B>
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</PRE>