Look at the figure find the value of x for which l || m

x=5

Step-by-step explanation:

19x and its vertical angle are equal.  Lets call that angle y

<y and 17x are same side interior angles.  Same side interior angles add to 180 if the lines are parallel.  Since l is parallel to m.

<y + 17x=180

We know that y and 19x are equal since they are vertical angles, so we can substitute this in.

19x+ 17x = 180

Combine like terms.

36x = 180

Divide each side by 36

36x/36 = 180/36

x = 5