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Angle

Concept

Angle

When two rays share an endpoint, an angle is formed. Below, the rays BA\overrightarrow{BA} and BC\overrightarrow{BC} create angle ABC.ABC.

When referring to a specific angle, the notation \angle is often used to name the angle. Additionally, mm\angle is used to note the size or measure of an angle, which can be interpreted as the amount of turn in the rotation between the rays. It is often measured in degrees, but can also be measured in radians. An angle of 00 ^\circ shows no rotation, while an angle of 360360 ^\circ shows a complete rotation.

Sometimes, the space outside an angle — rather than inside — is of interest. In figure above, α\alpha measures the interior angle formed by the rays, whereas β\beta measures the exterior angle.

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