Question

sum of the interior angles of a polygon is 5 times the sum of exterior angle.find the number of sides of the polygon​

Answer 1

the sum of exterior angles of any polygon is 360 degrees.

given,

the sum of interior angles of a polygon is 5 times the exterior angle.

sum of interior angles=5*360=1800 degrees

but,

sum of interior angles=(n-2)*180.

so,

(n-2)*180=1800

(n-2)=10. (note this step)

n=12

so,

the number of sides of the polygon is 12.

Answer 2

Hope u would have understood