# Generalising angles in polygons (Part 2)

In this lesson, we will learn how to apply the generalisation of the total interior angles in an n-sided polygon.

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!

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

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!

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

# 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

Your video will re-appear on the next page, and will stay paused in the right place.

# 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.

Quiz:

# Generalising angles in polygons (Part II)

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

Q1.If I split a 7 sided shape into 5 triangles, I have done the correct process to find the total interior angles within the shape.

1/5

Q2.Which of the following WOULD give you the total interior angles within a n-sided polygon?

2/5

Q3.Which of the following WOULD NOT give you the total interior angles of a n-sided polygon?

3/5

Q4.The sum of the total interior angles in a 30 sided shape is...

4/5

Q5.What would be the correct calculation to work out the total sum of the interior angles in a decagon?

5/5

Quiz:

# Generalising angles in polygons (Part II)

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

Q1.If I split a 7 sided shape into 5 triangles, I have done the correct process to find the total interior angles within the shape.

1/5

Q2.Which of the following WOULD give you the total interior angles within a n-sided polygon?

2/5

Q3.Which of the following WOULD NOT give you the total interior angles of a n-sided polygon?

3/5

Q4.The sum of the total interior angles in a 30 sided shape is...

4/5

Q5.What would be the correct calculation to work out the total sum of the interior angles in a decagon?

5/5

# Lesson summary: Generalising angles in polygons (Part 2)

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Climb stairs

On the spot:
Chair yoga