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

"the angle between lines A and B"

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.

"The angle between lines A and B is π/4 radians, or 45 degrees."

A corner where two walls intersect.

"an angle of a building"

A change in direction.

"The horse took off at an angle."

A viewpoint; a way of looking at something.

The focus of a news story.

Any of various hesperiid butterflies.

A storyline between two wrestlers, providing the background for and approach to a feud.

An ulterior motive; a scheme or means of benefitting from a situation, usually hidden, often immoral

"His angle is that he gets a percentage, but mostly in trade."

A projecting or sharp corner; an angular fragment.

Any of the four cardinal points of an astrological chart: the Ascendant, the Midheaven, the Descendant and the Imum Coeli.

(often in the passive) To place (something) at an angle.

"The roof is angled at 15 degrees."

To change direction rapidly.

"The five ball angled off the nine ball but failed to reach the pocket."

To present or argue something in a particular way or from a particular viewpoint.

"How do you want to angle this when we talk to the client?"

(cue sports) To hamper (oneself or one's opponent) by leaving 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.

A fishhook; tackle for catching fish, consisting of a line, hook, and bait, with or without a rod.

To try to catch fish with a hook and line.

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

"He must be angling for a pay rise."