Question 131424
SOLUTION -

 Let the measure of an angle be x degree

 now according to the condition we have "The supplemet of an angle measures 10 times more than the measure of its complement"

      Therefore 
         supplement of angle x = 180 - x
         complement of angle x = 90 - x
 
         180 - x = 90 - x + 10(90 - x)

         180 - x = 90 - x + 900 - 10x

        180 - x - 180 = 90 - x + 900 - 10x - 180
  
          -x + 10x = 810 - x - 10x + 10x
           
           9x = 810 -x

          9x + x = 810 - x + x

          10x = 810
 
          10x/10 = 810/10
 
           x = 81

 Therefore the measure of angle x = 81 degree

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