chisomokonkwo384
chisomokonkwo384 chisomokonkwo384
  • 07-05-2021
  • Mathematics
contestada

if each interior angle of a polygon is 144 . find the polygon​

Respuesta :

Omer08
Omer08 Omer08
  • 07-05-2021

Answer:

Decagon

Step-by-step explanation:

Since the interior angle is 144 degree, each exterior angle is 180 - 144 = 36 degrees.

For any convex polygon (in particularly, for any regular polygon) the sum of exterior angles is 360 degrees.

Hence, the number of sides = the number of vertices = 360/36 = 10.

Answer. Your polygon is decagon with 10 sides (vertices).

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