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

Question

asked Aug 3, 2023 112k views

1 Answer

Nivedha Senthil · Answer 1 · 2023-08-09T10:41:20+0000

Solution:

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.