ne56907 ne56907
  • 24-10-2021
  • Mathematics
contestada

The sum of the interior angles of a polygon is 2700 degrees. Calculate the number of sides.

Respuesta :

jimrgrant1 jimrgrant1
  • 24-10-2021

Answer:

17 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here sum = 2700° , then

180°(n - 2) = 2700° ( divide both sides by 180° )

n - 2 = 15 ( add 2 to both sides )

n = 17

The polygon has 17 sides

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