Question

if measure of each exterior angle of a regular polygon is 360°,find the number of sides of the polygon.
plz explain as well

Answer 1

${ \mathtt{ \pink{\underline{ \huge{ \purple{\fbox{ \: \green{Solution} \red : \: \: }}}}}}}$

Given ,

The measure of each exterior angle = 360

We know that , the number of sides of a polygon is given by

$\purple{ \mathtt{\underline{ \fbox{ \pink{Number \: of \: sides \: of \: a \: polygon= \frac{360}{Each \: exterior \: angle} }}}}}$

Substitute the value , we obtain

$\sf \hookrightarrow Number \: of \: sides = \frac{360}{360} \\ \\ \sf \hookrightarrow Number \: of \: sides = 1$

Hence , the number of sides of regular polygon is 1