Teresa,
I'd say that the context of use determines what you name the characters.
In a mathematical context, they're less-than and greater-than.
In the programming world, when they're doubled (<< and >>), they're called left-shift and right-shift.
In a quoting context, they're typically called angle brackets.
In a double quoting context (e.g. <<enclosed>>) I've seen them called left-guillemet, right-guillemet, and texas quotes.
But now, this is pressing into silliness. Sorry for stepping onto my high horse.
Cheers!