Angle type (5)
'angle type' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for acute that I've seen before include "Sharp - sort of French accent" , "Shrewd; severe" , "Critical, serious" , "Sharp; severe" , "not seen in cafe here!" .)
(Other definitions for obtuse that I've seen before include "Can't quite see the angle" , "Mentally slow - kind of angle" , "Thick, blunt" , "Dense, dim about the angle" , "A stupid angle?" .)