Measuring angles

An angle is the space between two lines that start at the same point.
Angles are measured in degrees (°). They can measure between 0° and 360°.
Different types of angles include acute, obtuse, reflex and right angle.
You can measure angles using a protractor.

Activity: Measuring angles
Complete this interactive activity to better understand how to measure angles. Then put your knowledge to the test.
Measuring types of angles
Angles are classified according to their measurement.
Let's look at the different types.

Image caption, 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

Image caption, Acute
An acute angle is an angles that is less than 90°. This makes them smaller than a right angle.

Image caption, Obtuse
An obtuse angle is an angle that is bigger than 90° degrees, but doesn’t reach a straight line at 180°.

Image caption, Straight line
A straight line is 180˚

Image caption, Reflex
A reflex angle is an angle that is greater than 180°.
1 of 5
You can use a semi-circular protractor to measure an acute, right-angle and obtuse angle, but you need a circular protractor to measure a reflex angle.

Example 1

What does this angle measure?
✓ 65°
This is an acute angle. An acute angle is an angle that is less than 90°.
Here are some more examples of acute angles.

Example 2

What does this angle measure?
✓ 135°
This is an obtuse angle. An obtuse angle is an angle that is more than 90° and less than 180°.
Here are some more examples of obtuse angles.

Example 3

What does this angle measure?
✓ 260°
You need to read the outside scale.
One line is lined up with 0° and the other line on the angle reaches 260 on the protractor.
This is a reflex angle. A reflex angle is an angle that is more than 180° and less than 360°.
Here are some more examples of reflex angles.

NEW! Play Guardians: Defenders of Mathematica - the winter update. gameNEW! Play Guardians: Defenders of Mathematica - the winter update
It's Mathematica as you’ve never seen it before, with all-new festive backgrounds and costumes. Available for a limited time only. Use your maths skills to save the day before it's too late!

More on Lines and angles
Find out more by working through a topic
- count3 of 4

- count4 of 4

- count1 of 4
