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Types of angle

There are 360掳 in a full turn, 180掳 in a half turn and 90掳 in a quarter turn. A quarter turn is called a right angle.

360, 180 & 90 degree angles

A right angle is shown by a small square. This fact can be used to calculate unknown angles.

Example

Calculate angle \(c\).

90 degree angle, split into 20 degrees and unknown angle, c

A right angle is shown.

\(c = 90 - 20 = 70^\circ\)

There are three different types of angle.

Acute, obtuse and reflex angles

An acute angle is an angle less than 90掳.

An obtuse angle is an angle between 90掳 and 180掳.

A reflex angle is an angle between 180掳 and 360掳.