Question

if each interior angle of a polygon equal to each exterior angle of the polygon,find no. of sides in the polygon​

Answer 1

Answer:

let each exterior angle be X

then, each interior angle=X

we know that sum of exterior angle and interior angle of the polygon =180

=X+X=180

=2x=180

=X=180/2

=90°

each exterior angle =90

let the number of sides in the polygon be X

each exterior angle =360/X

=90=360/X

=90x=360

=X=360/90

=4

therefore the number of sides in the polygon =4