Question

Find the no.of sides in a regular polygon if interior angle is equal to its exterior angle

Answer 1

if interior angle is equal to exteriorangle then the no of sides in the polygon will be 4 as


ext angle + int angle=190. linear pair
let ext angle be x
x+x=180. as int angle= ext angle
2x=180
x=90

ext angle=360/n
n=360/ext angle
n=360/90
n=4

therefore the polygon is a quadrilateral