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Each exterior angle of a polygon is 30o. Calculate the sum of the interior angles

Each exterior angle of a polygon is 30^o. Calculate the sum of the interior angles

A.
540^o
B.
720^o
C.
1080^o
D.
1800^o

Correct Answer: Option D

Explanation

number of sides = (frac{360^o}{theta} = frac{360^o}{306o})
n = 12^o
Sum of interior angle = (n – 2) 180^o
(12 – 2) 180v = 10 x 180^o
= 1800^o