m1xees200
m1xees200 m1xees200
  • 20-11-2021
  • Mathematics
contestada

A regular polygon has an exterior angle of 40
°

Work out the number of sides of the polygon.​

Respuesta :

jimrgrant1 jimrgrant1
  • 20-11-2021

Answer:

9 sides

Step-by-step explanation:

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

To find the number of sides n divide the sum by 40°

n = 360° ÷ 40° = 9

Answer Link
lcutting lcutting
  • 20-11-2021
9
The exterior angles of any regular polygon must add up to 360. Since the angle measure given in the questions is 40, take 360/ 40= 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.
Answer Link

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