Question 222576
Angle A and angle B are complementary.  The measure  of angle B is 3 times the measure of A.  Find the measure of angles A and B.


Step 1. Complementary angles means two angles add up to 90 degrees.


Step 2.  Let A be one angle.


Step 3.  Let B=90-A be its complement.


Step 4.  B=3A or 90-A=3A since the measure of B is 3 time the measure of A.


Step 5.  Solving yields the following steps


{{{90-A=3A}}}


Add A to both sides of the equation


{{{90-A+A=3A+A}}}


{{{90=4A}}}


Divide 4 to both sides of the equation


{{{90/4=4A/4}}}


{{{22.5=A}}}  Then {{{B=3A=67.5}}}


Step 6.  ANSWER:  The complementary angles are A=22.5 and B=67.5 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