Question 212347
The measure of the angle's supplement is 44 less than the measure of the angle. find the measure of the angle's supplement.


Step 1.  Let x be the measure of the angle


Step 2.  Let 180-x be the supplement of the angle where by definition when the sum of two angles = 180 then they are supplementary to each other.


Step 3.  Given, 


{{{180-x=x-44}}} 


based on the problem statement that the supplement 180-x is 44 less than angle x.


Now add x+44 to both sides to isolate x in one side.



{{{180-x+x+44=x-44+x+44}}} 


{{{180+44=2x}}}


{{{224=2x}}}


{{{x=112}}}


Step 4.  Angle x=112 and its supplement is 180-112=68.  Note the supplement of 68 is 44 less than the angle 112.


Hope this helps!  Good Luck in your studies!!  Dr J


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