Question

Two angels are supplementary and their measures are 2x and 52. what is the value of x?

Answer 1

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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Answer 2

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.