Precisely define an angle.

An angle is the finite section of a line between two endpoints on the line.
An angle is a closed plane curve with every point on the curve equidistant from a fixed point within the curve.
An angle is the figure formed by two lines extending from the same point.
An angle is a line that extends forever in one direction for a single endpoint.

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An angle is the figure formed by two rays (or line segments) that share a common endpoint, known as the vertex of the angle. The rays are called the sides of the angle, and the amount of rotation from one ray to the other is measured in degrees or radians.

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