2 Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the properties to the regular polygons they describe.
An interior angle measures 150".
An exterior angle measures 24.
The sum of the interior angles is 2520°.
An interior angle measures 160".
The sum of the exterior angles is 180º.
The sum of the interior angles is 2160°.
15-gon
16-gon
12.gon
18-gon
Reset
Next

12.gon - An interior angle measures 150°

Called a Dodecagon, the sum of all of its interior angles is 1,800° therefore each individual angle is;

= 1,800/12

= 150°

15-gon - An exterior angle measures 24°

The sum of all the exterior angles of a polygon add up to 360 so a polygon with a 24° exterior angle is;

= 360/24

= 15°

16-gon - The sum of the interior angles is 2,520°

Known as a hexadecagon, each interior angle of this polygon is a 157.5° and when added up this comes to 2,520°.

18-gon - An interior angle measures 160°

The formula for calculating the interior angle of a polygon is;

Angle = (n−2) × 180° / n

160 = (n−2) × 180° / n

160n = 180n - 360

360 = 20n

n = 18

Other tiles

The sum of the exterior angles is 180º - all exterior angles must add up to 360º so this does not exist.

The sum of the interior angles is 2,160° - this is a 14 sided polygon which is not listed in the options.