Question 218082
The supplement of an angle exceeds five times the complement of an angle by 10 degrees.  Find the angle.


Step 1.  Complementary angles is when two angles add up to 90 degrees.


Step 2.  Supplementary angles is when two angles add up to 180 degrees.


Step 3.  Let x be the angle.


Step 4.  Let 90-x its complementary angle.


Step 5.  Let 180-x be its supplementary angle.


Step 6.  Let 5(90-x) be five times the complement


Step 7.  180-x=5(90-x)+10  since the supplement of an angle exceeds five times the complement of an angle by 10 degrees.  Find the angle.


Step 8.  Solving yields the following steps:


*[invoke explain_simplification "180-x=5(90-x)+10" ]


With x=70, then 90-x=20 and 180-x=110.


Check...180-x=5(90-x)+10 or 110=5*20+10=110...which is a true statement.


Step 9.  ANSWER:  The angle 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 Trigonometry 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