Question

What is the measure of an exterior angle of a regular polygon with 80 sides

Answer 1

Given:

`n=80\text{ sides}`

The sum of exterior angles of a polygon is 360°.

The formula for calculating the size of an exterior angle is;

`Each\text{ e}xterior\text{ angle, }\theta=(360^0)/(n)`

Hence,

`\begin{gathered} \theta=(360)/(80) \\ \theta=4.5^0 \end{gathered}`

Therefore, the measure of each exterior angle of a regular polygon with 80 sides is 4.5 degrees.