Question

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

Answer 1

number of sides of a regular polygon=sum of the exterior angle of regular polygon /each exterior angle

sum of the exterior angle of regular polygon is always 360 degree for for any nos of side

number of sides of a regular polygon=360/45°

number of sides of a regular polygon=8 side [octagon] ANS

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