Dptheanimelord234 Dptheanimelord234
  • 16-08-2022
  • Mathematics
contestada

how many sides does a regular polygon have if each of its interior angle is 165°

Respuesta :

jimrgrant1 jimrgrant1
  • 16-08-2022

Answer:

24 sides

Step-by-step explanation:

exterior angle + interior angle = 180°

exterior angle + 165° = 180° ( subtract 165° from both sides )

exterior angle = 15°

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

since the polygon is regular each of the exterior angles are congruent

number of sides = 360° ÷ 15° = 24

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