Question

The sum of the angle measures of a polygon with n sides is 2880. find n

Answer 1

Number of sides of polygon are:

18

Explanation:

We know that:

The sum of the interior angles in a polygon with n sides is (n-2)180º.

Here sum of angle measures=2880

i.e. (n-2)180=2880

⇒ (n-2)=2880/180

⇒ n-2=16

⇒ n=18

Hence, number of sides of polygon are:

18

Answer 2

The number of sides of polygon is 18.

Explanation:

Given: The sum of the angle measures of a polygon with n sides is 2880

Formula:

`\text{Sum of angle of polygon}=(n-2)180^\circ`

Sum of angle of polygon = 2880

n is number of sides

Substitute the value into formula ans solve for n

`(n-2)180=2880`

Divide by 180 both sides

`n-2=16`

Add 2 both sides

`n=18`

Hence, The number of sides of polygon is 18.