Angle d is vertical angle to f the measure of is 53 what is the measure of

Your question is missing some words and cannot be answered as asked. 

However, it seems that the question is simply testing your knowledge of the term "vertical angles." Vertical angles are equal to each other. So if F and D are vertical angles, and one of them is 53°, then the other one is 53° as well.

But again, would need the full question to be sure.

The correct answer would be the fourth choice