Question

Clare's homework consists
in drawing a regular
polygon such that the sum
of its internal angles is
1080°.
What kind of polygon did
Clare draw?

Answer 1

The following expression is used to find the sum of the internal angles of a regular polygon:

∑∡ = 180° (n – 2)

Where:

n: number of sides or edges.  

If you clear the incognita "n" of the expression you have the number of sides of the figure:

1080°/180° + 2 = n

n = 6 + 2 = 8

n = 8

A polygon with eight (8) sides is an "Octagon".

The image of this is attached.