<PRE><B>Question 212340</B>
The measure of an angle is one-third the measure of its supplement.  Find the measure of the angle?


Step 1.  Let x be the angle.


Step 2.  Let 180-x be the supplementary angle.


Step 3.  Angle x is one-third of its supplement 180-x which translates to


{{{x=(180-x)/3}}}


Step 4.  Multiply by 3 to both sides of equation in Step 3 to get rid of denominator


{{{3x=3(180-x)/3}}}


{{{3x=180-x}}}


Step 5.  Add x to both sides of equation in Step 4 to isolate x in one side.


{{{3x+x=180-x+x}}}


{{{4x=180}}}


Step 6.  Divide by 4 to both sides


{{{4x/4=180/4}}}


{{{x=45}}}


Step 7.  ANSWER:  The angle x is 45 degrees and its supplement is 180-45 or 135.  Note that 45 is one-third of 135.


Hope this helps...and good luck in your studies!   Dr J


For Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.



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