Question 218352
A third of an angle is 4 more than its supplement. Find both angles.


Step 1.  Supplementary angles is when two angles add up to 180 degrees.


Step 2.  Let x be the angle and x/3 be one-third of the angle


Step 3.  Let 180-x be its supplementary angle.


Step 4.  x/3=180-x+4=184-x  since a third of an angle is 4 more than its supplement.


Step 5.  Solving yields the following steps:


Multiply by three to both sides of the equation to yield


{{{3*x/3=3*184-3*x}}}


{{{x=552-3x}}}


Add 3x to both sides of the equation


{{{x+3x=552}}}


{{{4x=552}}}


{{{x=138}}} and {{{x=42}}}


Check:  x/3=180-x+4 or 138/3=42+4 this is a true statement.


Step 6.  ANSWER:  The angles are 138 and 42.


I hope the above steps were helpful.


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And good luck in your studies!


Respectfully,
Dr J

http://www.FreedomUniversity.TV