noun

• (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).
  "the angle between lines A and B"
• (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.
  "The angle between lines A and B is π/4 radians, or 45 degrees."
• (media) The focus of a news story.
• (slang, professional wrestling) A storyline between two wrestlers, providing the background for and approach to a feud.

verb

• (transitive, often in the passive) To place (something) at an angle.
  "The roof is angled at 15 degrees."
• (intransitive, informal) To change direction rapidly.
  "The five ball angled off the nine ball but failed to reach the pocket."
• (transitive, informal) 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?"
• (transitive, billiards) 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.

verb

• (intransitive) To try to catch fish with a hook and line.
• (figurative, informal, with for) To attempt to subtly persuade someone to offer a desired thing.
  "He must be angling for a pay rise."

noun

• (historical) A member of a Germanic tribe first mentioned by Tacitus, one of several which invaded Britain and merged to become the Anglo-Saxons; an Anglian.