Meaning

• 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.

Meaning

• (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.