Question

The measure of an exterior angle of a regular polygon is 45 degrees name then shape of the polygon

Answer 1

Given

Exterior angle of a regular polygon = 45 degree.

Find

Name of the shape of polygon

Step-by-step 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 =

`\begin{gathered} (360\degree)/(45\degree) \\ \\ 8 \end{gathered}`

number of sides = 8

Final Answer

The shape of the regular polygon = octagon