Question 215691
Five times the measure of an angle less the complement of that angle equals 9. Find the measure of the angle. 


Step 1.  Angles are complementary when the two angles add to 90 degrees.


Step 2.  Let x be the angle and 90-x be the complementary angle.


Step 3.  Let 5x be five times the angle.


Step 4.  Then 5x-(90-x)=9  since five times the measure of an angle less the complement of that angle equals 9


Step 5.  The following will solve the equation in Step  4:


*[invoke explain_simplification "5x-(90-x)=9" ]



With x=16.5 , then 90-x=73.5  


Check 5x-90-x=5*16.5-73.5=9 which is a true statement. 


Step 6.  The angle is 16.5 degrees and its complement is 73.5 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