Question

The sum of the interior angles of a polygon is 3 times the sum of its exterior angles. Determine the number of sides of the polygon.

Answer 1

Step-by-step explanation:

sum of exterior angle of polygon=360

given that sum of exterior angle is 3 times sum of interior angle

(n-2)×180=360×3

(n-2)×180=1080

(n-2)=1080÷180

n-2= 6

n=6+2

n=8

No.of sides of polygon is 8 means figure is octagon