Question 224936
Can you please help me figure out the supplement of a given angle is four times as large as a complement of the angle. Find the measure of the given angle. Please.


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


Step 2.  Complementary angles means two angles add up to 90 degrees.


Step 3.  Let x be the angle.


Step 4.  Let 180-x be its supplementary angle.


Step 5.  Let 90-x be its complementary angle.


Step 6.  Then 180-x=4(90-x) since the supplement of a given angle is four times as large as a complement of the angle


*[invoke explain_simplification "180-x=4(90-x)" ]


With x=60, then 180-x-120 and 90-60=30 and note that four times the complement of the angle is the supplement of the angle.


Step 7.  ANSWER:  The angle is 60 degrees.  It complement is 30 degrees and its supplement is 120 degrees.


I hope the above steps were helpful. 


For free Step-By-Step Videos on Intrduction 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

drjctu@gmail.com

http://www.FreedomUniversity.TV
http://www.Facebook.com/FreedomUniversity.TV
http://www.Twitter.com/FreedomUTV