To answer this question, you have that both equations can be equated since they represent the same angle since both lines are parallel. Then, we can write:
[tex]3x+2=x+28[/tex]
We need to solve for x, first, by subtracting x from both sides of the equation, and then subtracting 2 from both sides of the equation:
[tex]3x-x+2=x-x+28\Rightarrow2x+2=28[/tex]
[tex]2x+2-2=28-2\Rightarrow2x=26[/tex]
Finally, to find the value of x, we need to divide both sides by 2 as follows:
[tex]\frac{2x}{2}=\frac{26}{2}\Rightarrow x=13[/tex]
Therefore, the value for x = 13.
