Question

The sum of angles of a polygon is 2880 degrees, how many sides does it have?​

Answer 1

18 sides

Step-by-step explanation:

So if the sum of your interior angles is 2880, you have an 18-sided polygon.

Answer 2

polygon, In geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross. The simplest polygons are triangles (three sides), quadrilaterals (four sides), and pentagons (five sides).

Given: Sum of angles of a polygon is $2880$ degrees.

Find the sides of a polygon.

According to the question

Sum of angle of polygon is given by the formula $(n-2) 180^{\circ }$

So, $2880=(n-2)180$

$(n-2)=\frac{2880}{180}$

$n-2=16$

$n=18$

So, the number of sides of polygon is$18.$