Final answer:
Creon is apt to believe the prophet because of his rationality, open-mindedness, and sense of duty towards his people.
Step-by-step explanation:
In the play Oedipus Rex, Creon is apt to believe the prophet because of several reasons. Firstly, Creon is a rational and logical person who values evidence and facts. He is willing to consider the possibility that the prophet is telling the truth based on the prophet's reputation and knowledge.
Secondly, Creon is open-minded and willing to listen to different perspectives. He understands that the prophet may have insights that are beyond his own understanding and is willing to take them into consideration before making any decisions.
Lastly, Creon has a strong sense of duty and responsibility towards his people. He wants to do what is best for Thebes and believes that following the advice of the prophet is in the best interest of the city.