Solve for x in the diagram below.

x=11

Step-by-step explanation:

35+5x=90

5x=55

x=11

 The answer is:  " x = 11 . "

Step-by-step explanation:

The 2 (two) angles shown form a "right angle" (i.e. "90° angle") ;  

that is, the 2 (two) angles are "complementary" (i.e. their measures add up to: " 90° " ,

So, add up the 2 (two) given angles, set the sum equal to 90 ; and solve for "x" ; as follows:

Note: One of the given angles measures:  "5x" ;

          The other given angle measures:  "35" ;

  5x + 35 = 90 ;

 Subtract "35" from Each side of the equation:

  5x + 35 - 35 = 90 - 35 ;

to get:

  5x = 55 ;

Now, divide Each Side of the equation by:  "5" ;

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

    and to solve for "x" ;

  5x / 5  =  55 / 5 ;

to get :  " x = 11 " .

Hope this answer—and explanation—are helpful to you!

 Best wishes!

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step-by-step explanation:

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