You said ABC and EBD are pair of verticle angles. And then question went on givin some new angle EBF , but we do not know where point
F is? The way you gave the above question is not correct.

Gayathri J. | GMAT Math and Essay CoachingGMAT Math and Essay Coaching

-1

An interesting question where representation of the angles comes to play.

Vertical angles are formed if two lines intersect. Definition: A pair of non-adjacent angles formed by the intersection of two straight lines. They are opposite angles and are equal inmeasure. The adjacent angles add to 180.

David has given the solution above perfectly, I just wanted to add some theory into this thought.