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Types of Angles (Mathematics Lesson)

Types of Angles

There are different types of angle.

Angles can be:

Acute Angles

An acute angle is an angle of less than 90°.

acute angle

Read more about acute angles

Right Angles

A right angle is an angle of 90°.

right angle

Don't forget: Right angles are often denoted by adding a small right angle that forms a square with the angle.

Read more about right angles

Obtuse Angles

An obtuse angle is an angle greater than 90° and less than 180°.

right angle

Read more about obtuse angles

Straight Angles

A straight angle is an angle of 180°.

straight angle

Read more about straight angles

Reflex Angles

A reflex angle is an angle greater then 180° and less than 360°.

reflex angle

Read more about reflex angles

Full Angles

A full angle is an angle of 360°.

full angle

Read more about full angles

Curriculum
Geometry Lessons
Interactive Test
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Here's a second test on the types of angle.
Here's a third test on the types of angle.

Note

What Is an Angle?

An angle is created by two rays that have a common end point, called the vertex.

parts of an angle explained

Who Classified Angles?

Euclid classified angles in his book, Elements.

Euclid

Definition 10: "When a straight line standing on a straight line makes the adjacent angles equal to one another, each of the equal angles is right".

Definition 11: "An obtuse angle is an angle greater than a right angle".

Definition 12: "An acute angle is an angle less than a right angle".

Oblique Angles

Acute and obtuse angles are also oblique angles. Oblique angles are neither right angles nor multiples of right angles.