# Calculate Angles Around Polygons

In this worksheet, students will use angle rules to calculate the angles around a polygon.

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Apply Facts About Angles and Sides

Difficulty level:

#### Worksheet Overview

In this activity, we will calculate the angles around polygons.

A polygon is the collective name for all the shapes that have straight sides!

The outside - exterior angles of any polygon add up to 360o

A regular polygon has all the sides and angles the same.

Therefore, we can work out one of the exterior angles of any regular polygon!

Example

Calculate the exterior  angles of a regular hexagon.

We know that a regular hexagon has six sides.

We also know that all the exterior angles add up to 360o

To find one angle, we can divide 360 by the number of sides.

360 ÷ 6 sides = 60o

Each exterior angle = 60o

This helps us to find the interior (inside) angle too!

The interior + exterior angle = 180 a straight line!

Look here!

You can see a zoomed-in angle from the triangle, square, pentagon and hexagon from above.

The dot is the interior angle.

You can see that the interior + exterior angle = 180o

Let's do some polygon questions!

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