two parallel lines are crossed by a transversal what is the value of A?

Answer: 63 degrees (second choice)
The two angles shown are corresponding angles. They are both on the bottom side of their adjacent parallel line, and at the same time, they are also on the left side of the transversal line. This is why they are corresponding angles.
Corresponding angles are congruent if you have a set of parallel lines like the diagram shows. So that's why a = 63.