Respuesta :

Given

Exterior angle of a regular polygon = 45 degree.

Find

Name of the shape of polygon

Explanation

As we know that sum of exterior angle of exterior angle is 360 degree.

given each angle = 45 degree

so,

number of sides of regular polygon =

[tex]\begin{gathered} \frac{360\degree}{45\degree} \\ \\ 8 \end{gathered}[/tex]

number of sides = 8

Final Answer

The shape of the regular polygon = octagon