Respuesta :

We will determine the value of x that would make K || with J as follows:

*First: We have that if both lines were parallel, then both angles depicted would be supplementary, thus the following would be true:

[tex](2x+13)+(3x+17)=180[/tex]

Now, we solve for x:

[tex]\Rightarrow5x+30=180\Rightarrow5x=150[/tex][tex]\Rightarrow x=30[/tex]

So, the value of x for which both lines are parallel would be 30.