The 4 classifications are:-
1 Acute angle which is greater than 0 but less than 90 degrees
2 Right angle which is 90 degrees
3 Obtuse angle which is greater than 90 but less than 180 degrees
4 Reflex angle which is greater than 180 but less than 360 degrees
A full rotation is 360 degrees
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a vertex
An angle exceeding 180° is a reflex angle.
That would be an acute angle.
A square or a rectangle
There is no special name for a 120º angle.