Question 215898
Five times the complement of an angle less twice the angle's supplement is 40 degrees.  Find the measure of the supplement.


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


Step 2.  Supplementary angles means two angles add up to 180 degrees.


Step 3.  Let x be the angle, let 90-x be its complement, let 180-x be its supplement.


Step 4.  Let 5(90-x) be five times the complement and 2(180-x) be twice the supplement.  


Step 5.  Five times the complement of an angle less twice the angle's supplement is 40 degrees is translated as 


{{{5(90-x)-2(180-x)=40}}}


The following will solve this equation...


*[invoke explain_simplification "5(90-x)-2(180-x)=40" ]


With x=16.67, then 180-x=163.33 and 90-x=73.33


Step 6.  ANSWER.  The supplement is 163.33 degrees


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J