Angular problems are much like their translational/linear counterparts. They deal with momentum and motion, but they are in this separate category for a reason. Sometimes you have to consider both angular and translational parts of a problem, for example in the bowling ball exploration below. Instead of boxes sliding down ramps, we can describe balls rolling down ramps. The language of angular motion can describe everything from ferris wheels to bicycles to how a cat lands on all four feet!
If you know the equations for kinematics, then some of the angular equations will look familiar. Position becomes angle, velocity becomes omega, acceleration becomes alpha, and in fact all of the parameters that you learned from kinematics have angular counterparts. While the more advanced problems will require calculus, a basic knowledge of kinematics will get you started here.