Question

find the no. of sides of a regular polygon whose each exterior angle has a measure of 45°​

Answer 1

Answer:

360

n

=

exterior angle for a regular polygon, where

n

is the number of sides. So if we substitute the given angle in

⇒

360

n

=

45

so

360

45

=

n

so

n

=

8

Answer 2

As the exterior angle is 45° no. of sides is

360°/n

360°/n=45°

n= 360/45

n=8

so the number of sides is 8