Final answer:
The Army uses degrees and radians as the two major units for angular measurement.
Step-by-step explanation:
The two major units of angular measurement the Army uses are degrees and radians. These units are crucial for precise navigation and targeting, which are essential skills in various military operations. Degrees are part of the historically common system of angular measurement where a full circle is divided into 360 equal parts. On the other hand, radians are derived from the circumference of a circle and provide a direct link between linear and angular measurements, where 2π radians equal 1 full revolution (or circle).