This .NET enum wraps the AcDbMLeaderStyle::SegmentAngleType ObjectARX enum. 

This is an enum of the segment angle types.

Public Enum AngleConstraint
  Degrees015 = 1
  Degrees030 = 2
  Degrees045 = 3
  Degrees060 = 4
  Degrees090 = 6
  DegreesAny = 0
  DegreesHorz = 12
End Enum

public enum AngleConstraint {
  Degrees015 = 1,
  Degrees030 = 2,
  Degrees045 = 3,
  Degrees060 = 4,
  Degrees090 = 6,
  DegreesAny = 0,
  DegreesHorz = 12
}