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n (geometry) A figure formed by two rays which start from a common point (a plane angle) or by three planes that intersect (a solid angle).

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 A corner where two walls intersect.

n A change in direction.

n A viewpoint.

n (media) The focus of a news story.

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.

v (intransitive) To try to catch fish with a hook and line.

v (informal) (with for) To attempt to subtly persuade someone to offer a desired thing.