I'm not sure exactly what whitehendrix's question means. There is one sense in which the torque angle of a synchronous motor is analogous to the slip frequency of an asynchronous (induction motor).
A synchronous motor running (open-loop) at no-load conditions will have a torque angle of zero degrees. As you add load, the torque angle will increase, producing enough torque to balance the load. This works all the way up to a torque angle of 90 degrees, past which generated torque decreases.
An induction motor running (open-loop) at no-load conditions will have a slip frequency of zero Hertz. As you add load, the slip frequency will increase, producing enough torque to balance the load. This works up to the slip frequency where there is a peak in the torque curve. Beyond this, the torque falls off and you would get rapid deceleration.
It is important not to carry this analogy too far. The synchronous motor maintains speed at reasonable loads, but the induction motor slows down. The internal mechanisms that create these effects are quite different.
Curt Wilson
Delta Tau Data Systems