Angles

| Mathematics
Definition

An angle is formed by two lines that meet or intersect.

Each of the lines (or rays) in the angle is called the side of the angle and the point at which they meet is called the vertex.

Example

In the image below, |A| is the vertex of the angle. The line segments |AB| and |AC| form the sides of angle |A.|

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There are three ways to name an angle. It can be named by its vertex, by a number inscribed in the angle opening, or by three points. When naming an angle by three points, the middle letter always designates the vertex of the angle.

Example

Consider the angle below.

The angle can be named in three different ways:

  • by its vertex: |\angle A|;

  • by a number: |\angle 1|;

  • by three points: |\angle BAC| or |\angle CAB.|

An angle is usually measured in degrees (°) using a protractor.

Definition

One degree corresponds to one three hundred and sixtieth |\left(\dfrac{1}{360}\right)| of the circumference of a circle.

The symbol "|\mathrm{m}\angle|" means measurement of angles. It is also possible to measure an angle in radians.

Find out more!

It is also possible to measure an angle in radians. Read the following concept sheet to learn more about measuring angles in radians and the conversion of degrees into radians:
Trigonometric Angles (Radians).