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The measures of one interior angle of a regular polygon is 140o. What is the name of the polygon?

Respuesta :

Answer:

nonagon/enneagon

Step-by-step explanation:

Let n be the number of length of the polygon

(n-2)x180 = 140n

180n - 360 = 140n

n = 9

The name of the polygon is call nonagon/enneagon
  • 140= (n-2)×180/n
  • 140n=180n-360
  • 180n-140n=360
  • 40n=360
  • n=360/40
  • n=9

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