Question

A regular polygon has 23 sides.
Find the size of each interior angle.

Answer 1

Explanation:

exterior angle = 360/23 = 15 15/23

Inetrior angle = 180- 15 15/23 =

`=180-15(15)/(23)\\\\=180-(360)/(23)\\\\=(180*23)/(23)-(360)/(23)\\\\ =(4140-360)/(23)\\\\=(3780)/(23)\\\\=164(8)/(23)`

Always sum of all exterior angle of any regular polygon is 360

Inetrior angle and exterior angle are linear pair