alhamowimoahmmed9 alhamowimoahmmed9
  • 18-04-2021
  • Mathematics
contestada

calculate the number of sides of a regular polygon with sum interior angles of 2160°.

Respuesta :

Hrishii
Hrishii Hrishii
  • 18-04-2021

Answer:

14 sides

Step-by-step explanation:

The sum of all interior angles of a polygon = (n - 2)180°

2160° = (n - 2)180°

[tex]n - 2 = \frac{2160 \degree}{180 \degree} \\ \\ n - 2 = 12 \\ \\ n = 12 + 2 \\ \\ n = 14[/tex]

Hence, the polygon has 14 sides.

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