Question

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

Answer 1

$each \: exterior \: angle \: = \frac{360}{n} \\ where \: n \: is \: number \: of \: sides \\ \: given \: \\ \frac{360}{n} = 45 \\ n = \frac{ 360}{45} = 8$
Hence the number of sides is 8
it is an OCTAGON


hope this helps you.....

Answer 2

Answer

Total measurement of all exterior angles is equal to 360 degree

Measure of each exterior angle is equal to 45 degree ==360/45=8

(therefore the number of exterior angle)

The polygon has 8 sides