n (geometry) The measure of such a figure. In the case of a plane angle, this is the ratio (or proportional to the ratio) of the arc length to the radius of a section of a circle cut by the two rays, centered at their common point. In the case of a solid angle, this is the ratio of the surface area to the square of the radius of the section of a sphere.
n (slang|professional wrestling) A storyline between two wrestlers, providing the background for and approach to a feud.
n (slang) A scheme; a means of benefitting from a situation, usually hidden, possibly illegal.
v (transitive|often in the passive) To place (something) at an angle.
v (intransitive|informal) To change direction rapidly.
v (transitive|informal) To present or argue something in a particular way or from a particular viewpoint.
v (snooker) To leave the cue ball in the jaws of a pocket such that the surround of the pocket (the "angle") blocks the path from cue ball to object ball.