Angles

This entry explores the basics of angles. An angle shape, composed of two lines or rays diverging from a common point known as the vertex. There are various types of angles. All angles have a vertex where the two lines or rays are joined.
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In the figure above Point B is the is the vertex of the angle ∠ABC.

Types of angles

Altogether, there are six types of angle as listed below. Click on an image below to learn more about the specific angle.

Angles-01

Less than 90°
Angles-02

Between 90° and 180°
Angles-03

Exactly 90°
Angles-04

Exactly 180°
Angles-05

Between 180° and 360°
Angles-06

Exactly 360°

The table below gives an over view of the names, intervals, and measured units of the angles above.

Name   acute right angle obtuse straight reflex perigon
Units Interval
Turns   (0,\tfrac{1}{4}) \tfrac{1}{4} (\tfrac{1}{4},\tfrac{1}{2}) \tfrac{1}{2} (\tfrac{1}{2},1) 1
Radians (0,\tfrac{1}{2}\pi) \tfrac{1}{2}\pi (\tfrac{1}{2}\pi,\pi) \pi (\pi,2\pi) 2\pi\,
Degrees   (0,90)° 90° (90,180)° 180° (180,360)° 360°

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