Question

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

Answer 1

Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 . Further as each exterior angle is 45o , each interior angle is 180o−45o=135o . As there are 8 interior angles each 135o.

Answer 2

Answer

Total measurement of all exterior angles is equal to 360 degree

Measure of each exterior angle is equal to 45 degree

$(therefore the number of exterior angle) = \frac{360}{45} = 8$

The polygon has 8 sides