Respuesta :

Answer:

  • Q11 - 12 sides
  • Q12 - 10 sides

Step-by-step explanation:

Use the formula for sum of interior angles of a regular polygon:

  • S = 180(n - 2)

Each angle A measures:

  • S/n = 180(n - 2)/n
  • A = 180(n - 2)n
  • An = 180n - 360
  • (180 - A)n = 360
  • n = 360/(180 - A)

Question 11

Each angle is 150, then finding n:

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

Question 12

Each angle is 144, find n:

  • n = 360/(180 - 144)
  • n = 360/36
  • n = 10

Answer:

Q11 - 12 sides

Q12 - 10 sides

Step-by-step explanation:

Heres the answer

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