Question

The sum of the interior angles of a polygon is three times the sum of its exterior angles. Determine the number of sides of the polygon.

Answer 1

Answer:

octogon(8 sides)

Step-by-step explanation:

Sum of interior angles =3×Sum of exterior angle=>3*360==>1080

Again we have sum of interior angles s=(n−2)180

Where n is the number of sides of the polygon

(n−2)180=1080

n−2=6

n=8

Hence the polygon of 8 sides is octagon