The Angle and Vertical Alignment text symbol properties are not used by ArcMap's standard label placement engine and are unavailable. These options are only available when editing the properties of a graphic text element.
However, the Maplex Label Engine provides a set of label placement properties for advanced labeling. This includes rotating labels at a specified angle, and offsetting labels vertically from the labelled features.
To rotate labels by an angle taken from an attribute field, refer to Setting label rotation using a numeric field. To offset labels, refer to Offsetting labels from polygon boundaries and Offsetting line labels from a line.
The links in the Related Information section offer additional information on setting label positions, rotation, and orientation.