Flat trim lies flat on the workpiece surface and needs only a miter angle. Crown molding sits at an angle to the wall and needs both a miter angle and a bevel tilt.
Inside corners are more common in rooms (walls meeting inward). Outside corners appear at bay windows and column wraps.
When both pieces have the same face width the miter is simply half the corner angle. When widths differ (e.g. a narrow stile meeting a wide rail) the angles are unequal.