Mammoth Memory

The total interior angles of an octagon = 1080°

Each time we add a side (triangle to square, square to pentagon, pentagon to hexagon) we add another 180°.

Triangle to octagon

Triangle

 

Square

 

Pentagon

 

Hexagon

 

Heptagon

 

Octagon

 

 

`180°`

`+`

`180°`

`+`

`180°`

`+`

`180°`

`+`

`180°`

`+`

`180°`

`=`

`1080°`

The total internal angles of a heptagon = 1080°

The internal angles of an octagon equals 1080 degrees 

Now, divide the total internal angle by the number of corners.

i.e. divide 1080° by 8.

`1080^circ/8=135^circ` 

1

 

2

 

3

 

4

 

5

 

6

 

7

 

8

 

 

`135°`

`+`

`135°`

`+`

`135°`

`+`

`135°`

`+`

`135°`

`+`

`135°`

`+`

`135°`

`+`

`135°`

`=`

`1080°`

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