Respuesta :

Hello from MrBillDoesMath!

Answer:

n = 13


Discussion:

Generally for a polygon with "n" sides, the sum of the interior angles is given by (n-2)* 180. We need to solve


(n-2) * 180 = 1980                =>  divide both sides by 180

(n-2)          = 1980/180         => as 1980/180 =11

n-2 = 11                                 => add 2 to both sides

n = 11 + 2 = 13

Hence the polygon has 13 sides ( and is called a "triskaidecagon"!)

Thank you,

MrB

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