Solution:
Given:
[tex]n=80\text{ sides}[/tex]The sum of exterior angles of a polygon is 360°.
The formula for calculating the size of an exterior angle is;
[tex]Each\text{ e}xterior\text{ angle, }\theta=\frac{360^0}{n}[/tex]Hence,
[tex]\begin{gathered} \theta=\frac{360}{80} \\ \theta=4.5^0 \end{gathered}[/tex]Therefore, the measure of each exterior angle of a regular polygon with 80 sides is 4.5 degrees.
