Generalising angles in polygons (Part 1)

In this lesson, you will learn how to generalise the sum of the interior angles in an n-sided polygon.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Question 1

Question 2

Question 3

Question 4

Question 5

Q1.The total sum of the interior angles of two triangles would be equal to...

1/5

Q2.If I have a regular pentagon, how many triangles from one distinct point internally can I create?

2/5

Q3.If I have a regular pentagon, what would the total interior angles sum to?

3/5

Q4.If I have a regular octagon, how many triangles from one distinct point internally can I create?

4/5

Q5.If I have a regular octagon, what would the total interior angles sum to?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Question 1

Question 2

Question 3

Question 4

Question 5

Q1.The total sum of the interior angles of two triangles would be equal to...

1/5

Q2.If I have a regular pentagon, how many triangles from one distinct point internally can I create?

2/5

Q3.If I have a regular pentagon, what would the total interior angles sum to?

3/5

Q4.If I have a regular octagon, how many triangles from one distinct point internally can I create?

4/5

Q5.If I have a regular octagon, what would the total interior angles sum to?

5/5

Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

  • Click "Close Video"
  • Click "Next" to view the activity

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Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Generalising angles in polygons (Part I)

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Question 1

Question 2

Question 3

Question 4

Question 5

Q1.A megagon has how many sides?

1/5

Q2.How many internal triangles can be formed within a megagon?

2/5

Q3.How many internal triangles from a distinct point can be formed within an icosagon?

3/5

Q4.The general formula for working out the total interior angles in a n-sided polygon is...

4/5

Q5.Using the formula, if I wanted to work out the total interior angles for a 360-sided shape, it would be...

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Generalising angles in polygons (Part I)

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Question 1

Question 2

Question 3

Question 4

Question 5

Q1.A megagon has how many sides?

1/5

Q2.How many internal triangles can be formed within a megagon?

2/5

Q3.How many internal triangles from a distinct point can be formed within an icosagon?

3/5

Q4.The general formula for working out the total interior angles in a n-sided polygon is...

4/5

Q5.Using the formula, if I wanted to work out the total interior angles for a 360-sided shape, it would be...

5/5

Lesson summary: Generalising angles in polygons (Part 1)

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