The size of each exterior angle of a regular polygon is 40 degrees.

Work out the number of sides of a regular polygon

Blowyourmind123
Mar 21, 2018

#1**+2 **

The sum of all the exterior angles in any polygon is always 360 degrees.

Because the number of sides in a polygon is equal to the number of exterior angles, I can say that the number of exterior angles is x, which also means that there are x sides.

40x = 360

x = 9

This is a nine sided regular polygon!

I hope this helped,

Supermanaccz

supermanaccz
Mar 21, 2018

#1**+2 **

Best Answer

The sum of all the exterior angles in any polygon is always 360 degrees.

Because the number of sides in a polygon is equal to the number of exterior angles, I can say that the number of exterior angles is x, which also means that there are x sides.

40x = 360

x = 9

This is a nine sided regular polygon!

I hope this helped,

Supermanaccz

supermanaccz
Mar 21, 2018