Opty1569 Opty1569
  • 28-12-2021
  • Mathematics
contestada

The interior angle of a regular polygon IS 180°.find the value if its exterior regular polygon

Respuesta :

jaseelk92
jaseelk92 jaseelk92
  • 28-12-2021

Answer:

Sum of exterior angle is [tex]360^0[/tex]

Value of each exterior angle is [tex]120^0[/tex]

Step-by-step explanation:

Sum of interior angles of a polygon with n sides [tex]=(n-2)\times180[/tex]

Here

[tex](n-2)180=180\\\\n=3[/tex]

Hence the polygon is triangle

Sum of exterior angle is [tex]360^0[/tex]

Sum of one exterior angle

[tex]=\frac{360}{3} \\\\=120^0[/tex]

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