Question

how many sides will a polgon have if its exterior angle is 72

Answer 1

we know that sum of exterior angles is 360 degrees.
each ext.angle =72degrees

no. if sides =360 /72= 5 sides




hope it helps u...

Answer 2

Hi  Diya

Given :-exterior angle is 72°

There is a formula for the exterior angle measurement of regular polygons, where n is the number of sides and the measure of each exterior angle:=360°/number of sides

each exterior angle = 360°/n

72° = 360°/n : Multiply both sides by “n” to clear the fraction

(72°)(n) = 360° : Divide both sides by 72° to isolate n.

n = 360°/72°

n = 5 sides, this is a pentagon. ANS