Final answer:
Aegeus shows sympathy and support for Medea, acknowledging her intelligence and offering comfort.
Step-by-step explanation:
In the relationship between Aegeus and Medea in the play "Medea" by Euripides, Aegeus shows sympathy and support for Medea. He acknowledges her intelligence and offers her comfort in her difficult situation. This can be seen when Aegeus agrees to offer Medea refuge in Athens, showing that he is on her side and wants to help her.