Question

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

Answer 1

number of sides of a polygon is 8(because the polygon is octagon)

sum of interior angle of a octagon=1080 degree

sum of exterior of a octagon = 360 degree

Explanation:

here in question ,

interior angle of a polygon=3*360(exterior angle of a polygon is always 360 degree)

=1080

Answer 2

Octagon

Explanation:

Sum of interior angles = 3*360 = 1080

sum of interior angles, is also, s = (n-2)180

From that,

n-2)180 = 1080

n-2 = 1080/180

n = 6 + 2

n = 8

Therefore, the figure is an 8 sided polygon or an octagon