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Types of angles

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Angles

Types of angles

An angle is an amount of turn, measured in degrees (°). We give angles different names depending on their size.

Acute< 90°Right= 90°Obtuse90°–180°Reflex> 180°

The four types

• Acute — less than 90° • Right angle — exactly 90° • Obtuse — greater than 90° but less than 180° • Reflex — greater than 180° but less than 360°

Worked examples

Acute: 60°

  1. 60° is less than 90°.

Answer: 60° is an acute angle.

Right angle: 90°

  1. 90° is exactly a quarter turn.

Answer: 90° is a right angle.

Obtuse: 135°

  1. 135° is more than 90° but less than 180°.

Answer: 135° is an obtuse angle.

Reflex: 300°

  1. 300° is greater than 180° (and less than 360°).

Answer: 300° is a reflex angle.

Where you see this in real life

  • The corner of a book or a door frame is a right angle.
  • The slice of a pizza that's left can be a reflex angle.
  • Comparing how far a door or a pair of scissors has opened.

Key words

Angle
An amount of turn between two lines that meet at a point.
Degrees (°)
The unit of measurement for angles.
Right angle
An angle of exactly 90°.
Reflex angle
An angle that is greater than 180° and less than 360°.