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Rules of Angles

Rules of Angles

Rules of Angles

Acute, obtuse, reflex and right-angles include some important rules relative to each other, which we can use to find unknown angles.

Angles can be either acute, right-angled, obtuse or reflex. This depends entirely on the size of the angle.

Rules of angles

1

An acute angle is any angle that is less than 90°90\degree

Here is an example

2

A right angle is exactly 90°90\degree

We indicate a right-angle with a little square at the angle.

3

What type of angle is this?

4

An obtuse angle is between 90°90\degree and 180°180\degree

Both these angles are obtuse

5

A reflex angle is greater than 180°180\degree

Both these angles are reflex angles

6

What type of angle is this?

7

This is a reflex angle

We can see this because the angle is greater than 180°180\degree

8

What type of angle is this?

9

This is an obtuse angle

This is because the angle is between 90°90\degree and 180°180\degree

There are 3 really important rules to remember about angles.

Rules of angles: lines, circles and triangles

1

The angles on a straight line add up to 180°180\degree

No matter what the two angles are, they always add up to 180°180\degree

2

What is the value of angle B? Write the number of degrees.

3

Angles around a point add up to 360°360\degree

No matter how many angles there are, they all add up to 360°360\degree

4

What is the size of Angle A? Write the number of degrees

5

The interior angles of a triangle add up to make 180°180\degree

Have a look in this triangle to see for yourself

6

What is the value of angle A? Write the number of degrees.

The angles around a point add up to ____

Final question! Which of these definitions describes the sum of the angles in a triangle?