Solution

159329

First name
Mimi
School
Headstart International School Phuket
Country
Age
14

1. Which polygons can make rings around a shape which uses only 1 side of each polygon?

A: It can take 10 pentagons, 6 hexagons, 4 octagons, and 3 dodecagons.

2. Not only that, the exterior angle of the shape inside is the same as the angle as the two interior angles subtracting 180.

A: 180 - (2 * interior angles of polygon) = exterior angle of inside polygon

This only works for polygons that have a regular shape inside of it.

3. Which polygons can make rings around shapes which use more than 1 side of each polygon?

A: 5 decagons use 2 sides each, 10 decagons use 3 sides each, 14 heptagons use 3 sides each, 18 nonagons use 3 sides each, 22 hendecagons use 4 sides each.