There are many reasons but one common thread – having sharp teeth offers some evolutionary advantage to the animal. Sharp teeth will have made it more likely that their ancestors survived and passed on their genes to the next generation and that they themselves will do the same. This might be through better access to food (for example lions), greater ability to build shelters (beavers), better ability to defend themselves, to fight off rivals or to attract mates (baboons), but there will be a reason why, to the creature, having sharp teeth is better than not having them.
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Andrew M commented on :
There are many reasons but one common thread – having sharp teeth offers some evolutionary advantage to the animal. Sharp teeth will have made it more likely that their ancestors survived and passed on their genes to the next generation and that they themselves will do the same. This might be through better access to food (for example lions), greater ability to build shelters (beavers), better ability to defend themselves, to fight off rivals or to attract mates (baboons), but there will be a reason why, to the creature, having sharp teeth is better than not having them.