mebieme30
mebieme30 mebieme30
  • 07-07-2020
  • Mathematics
contestada

Each interior angle of a regular polygon is 160°. How many sides has it? ​

Respuesta :

Percivle
Percivle Percivle
  • 07-07-2020

Answer:

18 sides

Step-by-step explanation:

Given the interior angle of a regular polygon, we can find that the exterior angles are (180°-interior°). And the number of sides of the polygon times the exterior angles must equal 360°. So we can write:

(180-160)°•(n)=360°

(20°)•(n)=360°

n=(360/20)°

n=18 sides

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