Generalising angles in polygons (Part 2)

Generalising angles in polygons (Part 2)

Lesson details

Key learning points

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

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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5 Questions

Q1.
A megagon has how many sides?
10
100
Correct answer: 1000
10000
Q2.
How many internal triangles can be formed within a megagon?
10
1000
8
Correct answer: 998
Q3.
How many internal triangles from a distinct point can be formed within an icosagon?
Correct answer: 18
20
8
98
Q4.
The general formula for working out the total interior angles in a n-sided polygon is...
Correct answer: 180(n-2)
180(n-3)
360(n-2)
360n
Q5.
Using the formula, if I wanted to work out the total interior angles for a 360-sided shape, it would be...
360 degrees
Correct answer: 64080 degrees
64800 degrees
720 degrees

5 Questions

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.
False
Correct answer: True
Q2.
Which of the following WOULD give you the total interior angles within a n-sided polygon?
180n
Correct answer: 180n - 360
360n
360n - 180
Q3.
Which of the following WOULD NOT give you the total interior angles of a n-sided polygon?
180(n - 2)
180n - 360
Correct answer: 360n
Q4.
The sum of the total interior angles in a 30 sided shape is...
504 degrees
Correct answer: 5040 degrees
540 degrees
5400 degrees
Q5.
What would be the correct calculation to work out the total sum of the interior angles in a decagon?
Correct answer: 180(10-2)
180(10)
360(10-2)
360(8)

Lesson appears in

UnitMaths / Angles in polygons