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Brainiac97

By definition, supplementary angles always add up to 180 degrees. So, if we know that one of the angles is 52, then we can set up our equation, which would look like: 2x+52=180. In terms of solving equations algebraically, we would first subtract 52 from the 180 in order to make the equation 2x = 128. Then we would divide each side of the equation by 2, cancelling out the 2 on the x and making it just x on one side and making the 128 into 64 on the other side. The final equation looks like this: x = 64.

So, the answer to this question is that x = 64.

JonHenderson55

Answer:  " 64 " .

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      →   " x = 64 " .

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Step-by-step explanation:

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Note that all supplementary angles, by definition:

    1)  form a straight "line"; or straight "line segment" ;  and:

    2) add up to 180 degrees.

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As such, as per the given information for our problem, the 2 (two) angles in our problem that are supplementary—with measurements of:  

       " 2x " ; and "52" ;   add up to:  180 .

So:

        2x + 52 = 180 ; We are asked to solve for "x" .

→  Subtract "52" from each side of the equation:

        2x + 52 - 52 = 180 - 52 ;

to get:

       2x = 128 ;

Now, divide each side of the equation by:  "2" ;

     to isolate "x" on one side of the equation;

     & to solve for "x" ;

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       2x / 2 = 128 / 2 ;

to get:

           x =  64 .

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The answer is: " 64 " .

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Hope this helps!

  Best wishes to you!

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