<PRE><B>Question 226646</B>
What is the measure of an angle is 28 degree more than the complement. find the measure of each angle.


Step 1.  Let x be angle.


Step 2.  Let 90-x be the complement of its angle.


Step 3.  Then, x=90-x+28 since the measure of an angle is 28 degrees more than the complement.


Step 4.  Solving equation in Step 3 yields the following steps


{{{x=62-x}}}


Add x to both sides of the equation


{{{x+x=62-x+x}}}


{{{2x=62}}}


Divide by 2 to both sides of  the equation


{{{2x/2=62/2}}}


{{{x=31}}} Then {{{x+28=59}}}.  Note the sum is 90 degrees.


Step 5.  ANSWER:  The angles are 31 and 59 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.


And good luck in your studies!


Respectfully,
Dr J

http://www.FreedomUniversity.TV</PRE>