<PRE><B>Question 213452</B>
An angle is equal to 5 times its complement,determine its measure ?


Step 1.  Complementary angles are those angles when they add up to 90 degrees.


Step 2.  Let x be the angle and let 5x be its complement.


Step 3.  Then


{{{x+5x=90}}}


{{{6x=90}}}


Divide by 6 to both sides of equation to get x


{{{6x/6=90/6}}}


{{{x=15}}}


Step 4.  The angle is 15 degrees and its complement is 75 degrees.



I hope the above steps were helpful.


For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


Good luck in your studies!


Respectfully,
Dr J</PRE>