Year 11
Foundation

Finding the sum of interior angles in a polygon

Year 11
Foundation

Finding the sum of interior angles in a polygon

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Lesson details

Key learning points

  1. In this lesson, we will calculate the sum of interior angles in polygons, and apply this to find missing angles.

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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.
What is the sum of exterior angles of any polygon?
180º
Correct answer: 360º
540º
Different with each polygon
Q2.
Calculate the size of angle a.
An image in a quiz
15º
Correct answer: 30º
67º
73º
Q3.
Calculate the size of angle b.
An image in a quiz
134º
Correct answer: 44º
48º
98º
Q4.
4. What is the size of each exterior angle of a regular 15 sided polygon?
Correct answer: 24º
42º
48º
72º
Q5.
5. A regular polygon has an exterior angle of 30º. How many sides does it have?
10
Correct answer: 12
14
16

4 Questions

Q1.
What is the sum of interior angles of a 20-sided shape?
1800º
2880º
Correct answer: 3240º
3600º
Q2.
What is the sum of interior angles of a 9-sided shape?
Correct answer: 1260º
1620º
1980º
900º
Q3.
What is the missing angle, labelled x?
An image in a quiz
114º
33º
Correct answer: 66º
Q4.
What is the size of each interior angle in a regular octagon?
Correct answer: 135º
225º
45º
90º