Respuesta :

So since the formula for the sum of a polygon's interior angles is (n-2)180, just make that equal to 2520 and solve for n, which is the number of sides.

STEPS:

1) (n-2)180 = 2520

2) n-2 = 2520/180

3) n-2 = 14

4) n = 16

So the polygon must have 16 sides

The polygon must have 16 sides.

Step-by-step explanation:

Given :

A polygon has an interior angle sum of [tex]2520^\circ[/tex].

Solution :

For a polygon,

[tex]\rm (n-2)\times 180^\circ = 2520^\circ[/tex]

[tex]\rm n- 2 = 14[/tex]

[tex]\rm n = 16[/tex]

The polygon must have 16 sides.

For more information, refer the link given below

https://brainly.com/question/19467889?referrer=searchResults

ACCESS MORE