1. degree (angle, temperature, scale, etc.)
気温が、一気に十度ぐらい下がった気がした。I felt like the temperature had dropped by about ten degrees all at once.
2. counter for occurrences
彼はこの大会で十数度優勝している。He has won this tournament a dozen or so times.
3. strength (of glasses); glasses prescription
度が入ってないから、平気なはずよ。They don't have a prescription, so they should be fine.
4. alcohol content (percentage); alcohol by volume
5. extent; degree; limit
度の過ぎた冗談は人を傷つける。Jokes that go too far hurt people.
6. presence of mind; composure