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Definition: Angles are formed by two rays that begin at the same point or share the same endpoint. The angle measures the amount of turn between the two arms and is usually measured in degrees or radians. Where the two rays intersect (come together to meet) is called the vertex. The two rays are sometimes referred to as the arms.
Definition of angle for English Language Learners. : 1  the difference between the direction of two lines or surfaces that come together : the space or shape formed when two lines or surfaces meet each other. â 2 used to describe a surface that is not level.