Question

A regular hexagon has 18 sides calculate the size of each interior

Answer 1

`160` °

Explanation:

An alternative method is to use the exterior angle.

the sum of the exterior angles is ALWAYS 360 °

So you can find the size of the exterior angles of a regular polygon quite easily:

If there are 18 sides ( n = 18 ) , then each exterior angle is:

`(360)/(n) =(360)/(18) = 20`°

The sum of the exterior and interior angles is 180° because they are adjacent angles on a straight line.

∴ each interior angle is 180° - 20° = 160°