Geometry

Hong Kong

Stage 1 - Stage 3

Neil claims to have drawn a regular polygon with each interior angle equal to $130^\circ$130°.

a

Find $n$`n`, the number of sides of such a polygon.

b

What is the shape of this polygon?

This shape cannot exist

A

Heptagon

B

Pentagon

C

Hexagon

D

Nonagon

E

Octagon

F

Easy

Approx 3 minutes

Dave claims to have drawn a regular polygon with each interior angle equal to $100^\circ$100°.

James claims to have drawn a regular polygon each interior angle equal to $150^\circ$150°.

Sophia claims to have drawn a regular polygon each interior angle equal to $140^\circ$140°.

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