Geometry

NZ Level 5

Identifying Polygons from angle conditions

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

This shape cannot exist

A

Heptagon

B

Pentagon

C

Hexagon

D

Nonagon

E

Octagon

F

Easy

Approx 3 minutes

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Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties