The sum of the measures of the interior angles of a polygon is 2880°. how many sides does the polygon have? 14 16 18 20

polygon has 18 sides.

Step-by-step explanation:

Given : The sum of the measures of the interior angles of a polygon is 2880°.

To find : How many sides does the polygon have.

Solution : We have given that sum if all interior angle = 2880°.

Rule :

Sum of interior angle = (n-2) * 180.

Where, n = number of sides of polygon .

Plug the value

2880 = ( n-2) *180

On dividing by 180 both sides

= n - 2

16 = n -2

On adding by 2  both sides.

16 + 2 = n

n = 18.

Therefore, polygon has 18 sides.

the perimeter is increased by a factor of 2

x = 23.78

step-by-step explanation: