What is an angle?

Part of MathsLines and anglesYear 5

What is an angle?

Kevin looking thoughtfully at a whiteboard with a right angle drawn on it.

An angle is a measure of how much something has turned.

The size of an angle is measured in degrees (°). Angles can be between 0° and 360°:

  • A full turn is 360°

  • A half turn is 180°

  • A quarter turn is 90° (also called a ‘right-angle’)

You can use a protractor to measure the size of an angle.

Kevin looking thoughtfully at a whiteboard with a right angle drawn on it.
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Activity: Understanding angles

Complete this interactive activity to understand angles. Then put your knowledge to the test.

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Types of angles

An angle is created when two lines meet.

There are different types of angles based on their measurement.

Let's look at the different types.

Image gallerySkip image gallerySlide 1 of 5, A vertical and horizontal line connecting to form a right angle., Right angle A right angle looks like the corner of a square or the edge of a book. It is a perfect 90°, which is often shown by a small square drawn in between the two lines
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Measuring angles

You can use a protractor to measure and draw angles.

A protractor has a clockwise and an anti-clockwise scale. This is so that you can measure angles to the left or right.

Let's have a go at using a protractor to measure some angles.

Image gallerySkip image gallerySlide 1 of 5, Rohan looking at an unknown angle, What could this angle be? It's a good idea to estimate the angle first and then measure it. You can see it's an acute angle, so it's less than 90°.
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Example 1

a vertical line with an arrow travelling from the top in a half circle to the bottom. A bird-eye view of Kevin shows him pointing to the arrow head.

How many quarter turns are in this half turn?

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Example 2

A right angle with a square indicator where the 2 lines meet.

How many degrees is this angle?

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Example 3

2 lines meeting at one end to form a wide angle.

Is this an obtuse angle?

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NEW! Play Guardians: Defenders of Mathematica - the winter update
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