smallishsky818 smallishsky818
  • 16-03-2021
  • Mathematics
contestada

The interior angle sum of a convex polygon is 2.520 How many sides does the polygon
have?

Respuesta :

adefunkeadewole adefunkeadewole
  • 21-03-2021

Complete Question

The interior angle sum of a convex polygon is 2520.How many sides does the polygon have?

Answer:

16 sides

Step-by-step explanation:

The sum of angles in a polygon formula is given as:

(n - 2)180°

Where n = Number of sides of the polygon

Hence:

(n - 2)180°= 2520°

Divide both side by 180°

(n -2) = 2520/180

n - 2 = 14

n = 14 + 2 = 16

Therefore the number of sides the convex polygon has 16 sides.

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