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TEA [102]
3 years ago
6

In two supplemantary angles, the measure of one angles is 6 more than the twice the measure of the other.the measure of these tw

o angles are
Mathematics
1 answer:
ehidna [41]3 years ago
8 0
Answer:
________________________________________________________
The measurements of the 2 (TWO) supplementary angles are:
________________________________________________________
           58° and 122° .
________________________________________________________
Explanation:
_________________________________________________
Two supplementary angles:
_________________________________________________
Angle 1:  "x:
_________________________________________________
Angle 2:  "(6 + 2x)"
_________________________________________________
        All supplementary angles, by definition, add up to 180 degrees,  so given that the 2 (two) angles are supplementary:

(x) + (6 + 2x) = 180 ;  Find "x"  and "(6 + 2x)" .
__________________________________________________
   x + 6 + 2x = 180 ;

      3x + 6 = 180 ;

   Subtract "6" from each side of the equation ;
___________________________________________________
      3x + 6 − 6  = 180 − 6 ;

          3x = 174 ;
___________________________________________________
Divide each side of the equation by "3"  ;
  to isolate "x" on one side of the equation ; and to solve for "x" ;

          3x / 3 = 172 / 3 ;

               x = 58 ;
________________________________________________
So: 
________________________________________________
Angle 1:  "x" :  x = 58 .
________________________________________________
Angle 2:  "(6 + 2x)" =  " 6 + 2(58) = 122 .
________________________________________________
122 + 58 =? 180 ?  Yes!
________________________________________________
So, the measurements of the 2 (TWO) supplementary angles are:
           58° and 122° .
________________________________________________

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