olasubomiabdusalam olasubomiabdusalam
  • 16-07-2022
  • Mathematics
contestada

The interior angle of a regular polygon is twice the exterior angle how many sides has the polygon

Respuesta :

jimrgrant1 jimrgrant1
  • 16-07-2022

Answer:

6 sides

Step-by-step explanation:

the interior angle + the exterior angle = 180°

let x be the exterior angle then 2x is the interior angle and

x + 2x = 180

3x = 180 ( divide both sides by 3 )

x = 60

the exterior angle = 60°

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

since the polygon is regular the the exterior angles are congruent, then

number of sides = 360° ÷ 60° = 6

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