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iGCSE (2021 Edition)

9.06 Angles of polygons

Interactive practice questions

Luke claims to have drawn a regular polygon with each interior angle equal to $120^\circ$120°.

a

What value of $n$n would be needed to produce an angle of $100^\circ$100° using the interior angle sum formula?

b

What type of polygon has this value of $n$n?

Octagon

A

Pentagon

B

Heptagon

C

This shape cannot exist

D

Hexagon

E

Nonagon

F
Medium
1min

Bill claims to have drawn a regular polygon with each exterior angle equal to $50^\circ$50°.

Medium
1min

Neil claims to have drawn a regular polygon with each exterior angle equal to $45^\circ$45°.

Medium
< 1min

What is the sum of exterior angles for any polygon?

Easy
< 1min
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Outcomes

0580C4.7D

Calculate unknown angles using angle properties of regular polygons.

0580E4.7D

Calculate unknown angles using angle properties of regular polygons.

0580E4.7G

Calculate unknown angles using angle properties of irregular polygons.

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