Question

A polygon has 9 sides. What is the sum of the measure of the exterior angles of the polygon? 360° 1620° 810° 1260°

Answer 1

4 sides is = to 360 decree sorry don't know how to spell so 360 plus 360 cause they are 9 side so take (360×2)plus 360 is the answer.

Answer 2

The correct option is A.

Explanation:

If a polynomial has n sides, then the sum of the measure of the interior angles of the polygon is

`\text{Sum of interior angle}=(n-2)* 180`

The sum of interior angles of the polygon having 9 sides is

`\text{Sum of interior angle}=(9-2)* 180=1260`

The sum of interior angles of the polygon is 1260.

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

It means the sum of the measure of the exterior angles of the polygon having 9 sides is 360 degrees.

Therefore the correct option is A.