2. what is the value of x in this diagram?

The answer is:  [B]:  " 15 " .

Explanation:

"112" and "(7x + 7)" are the measurements of 2 (TWO) vertical angles; 

and all vertical angles are equal;  so, to solve for "x" ; 

       7x + 7 = 112 ;

Subtract "7" from EACH SIDE of the equation:

             7x + 7 - 7 = 112 - 7 ;

to get:  

           7x  = 105  ;

Now, divide EACH SIDE of the equation by "7" ; to isolate "x" on one side of the equation; and to solve for "x" ;

           7x / 7 = 105 / 7 ;

to get:    x = 15 ;   which is:


Answer choice:  [B]:  " 15 " .