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Amiraneli [1.4K]
3 years ago
13

Each of a regular polygon is 140°,find the number of the sides that ghe polygon has​

Mathematics
2 answers:
Sloan [31]3 years ago
5 0

Answer:

the answer should be 360/36=10 sides

Step-by-step explanation:

A regular polygon is 144 deg the exterior angle is 36 deg.

Troyanec [42]3 years ago
4 0

Answer:

9 sides

Step-by-step explanation:

Internal angles of the regular polygon have a property, sum of interior angles is equal to:

  • sum = (n-2)*180°

n sides each interior angle equal to 140°, then

  • sum = 140°n

Comparing the two equations:

  • (n-2)*180= 140n
  • 180n - 360 = 140n
  • 40n = 360
  • n = 360/40
  • n = 9

The polygon has 9 sides

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