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Types of angles

Types of angles

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Summary

Types of angles

In a nutshell

There are four main way to classify angles: acute, right, obtuse and reflex. Angles can also be represented using three-letter notation.



Types of angles

Here are the four types of angles you need to know:


NAME

DESCRIPTION

DIAGRAM

Acute angles

Angles that are less than 90°90\degree90°​​
Maths; Lines and angles; KS3 Year 7; Types of angles

Right angles

Angles that are exactly 90°90\degree90°​​
Maths; Lines and angles; KS3 Year 7; Types of angles

Obtuse angles

Angles that are between 90°90\degree90° and 180°180\degree180°​​
Maths; Lines and angles; KS3 Year 7; Types of angles

Reflex angles

Angles that are between 180°180\degree180° and 360°360\degree360°​​
Maths; Lines and angles; KS3 Year 7; Types of angles



Three-letter angle notation

Three-letter angle notation is a way of referring to angles in shapes. It is represented using the angle symbol (∠\angle∠​) followed by three capital letters. The angle being referred to is the middle letter.


Example

Express the given angle in three-letter notation:


Maths; Lines and angles; KS3 Year 7; Types of angles


The angle is at the point VVV, and the lines extend to the points AAA and BBB.

Hence, the angle is written as ∠AVB\angle AVB∠AVB in three-letter notation.


The given angle is written as ∠AVB‾\underline{\angle AVB}∠AVB​.


Note: It is also acceptable to write the angle as ∠BVA\angle BVA∠BVA.


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Length:
Right angles, acute and obtuse angles

Unit 1

Right angles, acute and obtuse angles

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Types of angles

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Types of angles

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FAQs - Frequently Asked Questions

What is a reflex angle?

A reflex angle is an angle that is between 180 and 360 degrees.

How do you write letters in three-letter angle notation?

The middle letter refers to where the angle is and the other two letters refer to which lines to draw the angle from.

What are the 4 types of angles?

The four types of angles are: acute, right, obtuse, reflex.

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