Question

How;many sides does a regular polygon have if each of its interior angle is 160degree

Answer 1

Dear student,
Interior angle = 160

exterior angle = 180-160 = 20 (linear pair)

sum of the exterior angle = 360

let sides = x

then, 20x = 360

x = 360/20

x = 18

so, there are 18 sides of the regular polygon whose each interior angle is 160
Regards