aldrin44738 aldrin44738
  • 20-05-2022
  • Mathematics
contestada

find the number of sides of a regular polygon whose each interior angle is of 135 degrees

Respuesta :

jimrgrant1 jimrgrant1
  • 20-05-2022

Answer:

8 sides

Step-by-step explanation:

exterior angle + interior angle = 180° , that is

exterior angle + 135° = 180° ( subtract 135° from both sides )

exterior angle = 45°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular then number of sides n is

n = 360° ÷ 45÷ = 8

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