Answer: second option.
Step-by-step explanation:
It is important to remember that Vertical angles are defined as two non-adjacent angles formed by intersecting lines. These angles share the same vertex and they are congruent.
Observe the figure attached. Since lines "a" and "b" are parallel, you can notice that the angle 82° angle x° are Vertical angles. Therefore, they are congruent.
Then, the value of "x" is:
[tex]x=82\°[/tex]
