Well, i studied Latin because it is the basis of french, spainish or italian. It was really important for me to discover from where come a lot of our language. It's really helpful in orthograph. Then it's also interesting because of the mythologie and history, it's not boring at all. that's like listening fairy tales.
My sister studies ancient greek, she likes the same thing as i do, but moreover, she loves knowing another alphabet, that's like a game.