oliviakmalandris oliviakmalandris
  • 23-08-2021
  • Mathematics
contestada

A polygon which is regular has interior angles measuring 150°. This polygon is called a:​

Respuesta :

barberkimora11111 barberkimora11111
  • 23-08-2021

Answer:

Step-by-step explanation:

equilateral triangle

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mhanifa
mhanifa mhanifa
  • 23-08-2021

Answer:

  • Dodecagon (12 - sided polygon)

Step-by-step explanation:

Let it be n- sided polygon.

Sum of interior angles is 150n.

On the other hand we know the sum of interior angles of a regular n - sided polygon is calculated using the following formula:

  • S = 180(n - 2)

Compare the sums and solve for n:

  • 180(n - 2) = 150n
  • 180n - 360 = 150n
  • 180n - 150n = 360
  • 30n = 360
  • n = 360/30
  • n = 12

12-sided polygon is called dodecagon

Answer Link

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