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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.
Angle is also used to designate the measure of an angle or of a rotation. This measure is the ratio of the length of a circular arc to its radius. In the case of a geometric angle, the arc is centered at the vertex and delimited by the sides. In the case of a rotation, the arc is centered at the center of the rotation and delimited by any other point and its image by the rotation.