Question

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

Answer 1

Answer:

$160$ °

Step-by-step 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:

$\frac{360}{n} =\frac{360}{18} = 20$°

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°