Question 216445
The question I need help on is:  If the supplement of an angle is twenty more than twice its complement, find the original angle, it complement and its supplement 


Step 1.  Supplementary angles is when two angles add up to 180 degrees.


Step 2.  Complementary angles is when two angles add up to 90 degrees.


Step 3.  Let x be the angle, let 180-x be its supplement, and let 90-x be its complement.


Step 4.  Let 2*(90-x) be twice the complement.


Step 5.  Then, 180-x=2(90-x)+20 since supplement of an angle is twenty more than twice its complement.


Step 6.  Solving yields the following steps.


{{{180-x=2(90-x)+20}}}



{{{180-x=180-2x+20}}}


Add 2x-180 to both sides of the equation


{{{180-x+2x-180=180-2x+20+2x-180}}}


{{{x=20}}}  Then {{{180-x=160}}} and {{{90-x=70}}}


Check 160=2*70+20...which is a true statement.


Step 7.  ANSWER:  The angle is 20 degrees, its supplement is 160 degrees and its complement is 70 degrees.


I hope the above steps and explanation were helpful. 


For Step-By-Step videos on Introduction to Algebra, 

please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and 

for Trigonmetry please visit 

http://www.FreedomUniversity.TV/courses/Trigonometry. 


Also, good luck in your studies and contact me at 

john@e-liteworks.com for your future math needs.


Respectfully, 
Dr J