deborahabigiya
deborahabigiya deborahabigiya
  • 26-06-2022
  • Mathematics
contestada

the number of sides of regular polygon if the measure of its interior angle is 150 degree​

Respuesta :

fieryanswererft
fieryanswererft fieryanswererft
  • 26-06-2022

Answer:

12 sides

Explanation:

[tex]\sf interior \ angle = \dfrac{(n-2) \times 180}{n} \quad (where \ n \ denotes\ number \ of \ sides)[/tex]

Solving Steps:

[tex]\sf \dfrac{(n-2) \times 180}{n} = 150[/tex]

[tex]\sf (n-2) \times 180} = 150n[/tex]

[tex]\sf 180n-360 = 150n[/tex]

[tex]\sf 180n-150n = 360[/tex]

[tex]\sf 30n = 360[/tex]

[tex]\sf n = 12[/tex]

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