Question

The formula for number of sides of Regular Polygon given each exterior angle is

Answer 1

360°/n is that formula where n = measure of each exterior angle.

Answer 2

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The formula for number of sides of Regular Polygon given each exterior angle is

= total measure of all exterior angles / measure of each exterior angle
_____________________________


for example

Find the number of sides of a regular polygon whose exterior angle has a measure of 45° ?

Solution : total measure of all exterior
angle equal = 360°

measure of each exterior
angle equal to 45°




therefore ,

The number of exterior angles =360/45
= 8

The polygon has 8 sides.