The angles 2x and 36 are vertical angles, which means that they are angles opposite to the same vertex and thus they are equal:
[tex]2x=36[/tex]Now we have to solve this equation to find the value of x.
To solve for x, divide both sides of the equation by 2:
[tex]\frac{2x}{2}=\frac{36}{2}[/tex]On the left-hand side, the 2 on the numerator and the 2 on the denominator cancel each other and we are left only with x:
[tex]x=\frac{36}{2}[/tex]And on the right-hand side 36/2 is equal to 18:
[tex]x=18[/tex]Answer: x=18
