The overall answer is yes, because you never know when you need one, stretch the subjects out by adding as much information as possible
I think you're talking about a participal phrase.
Ex:Awakened by the blaring horns,Aaron looked out the window.
It is a big square surrounded by a big stadium
B. He is resourceful and patient.
Answer: their
Explanation: The sentence is addressing car buyers having something, in this instance a choice. When the subject is possessive, you use their. Such as, the car buyers ate <em>their</em> lunch.