Question

Does any one know which of these go together?

Answer 1

For any n-sided (regular) polygon the interior angles are given by
`180-(360)/(n)`

So for each shape listed:

Hexagon:

`180-(360)/(n)`

`180-(360)/(6)=120`

Decagon:

`180-(360)/(n)`

`180-(360)/(10)=144`

Pentagon:

`180-(360)/(n)`

`180-(360)/(5)=108`

Octagon:

`180-(360)/(n)`

`180-(360)/(8)=135`

Nonagon:

`180-(360)/(n)`

`180-(360)/(9)=140`

Heptagon:

`180-(360)/(n)`

`180-(360)/(7)=128(4)/(7)`