Answer:
A.

Explanation:
We have been given a graph of two parallel lines and we are asked to find the value of x.
We can see that angle that measure x and the angle that measure 34 degrees is inside our parallel lines a and b and on the opposite side of transversal, so these angles are alternate interior angles.
Since the alternate interior angles are equal, therefore, value of x is 34 degrees and option A is the correct choice.