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

Mathematics
WAEC 2014

Each exterior angle of a polygon is 30o. Calculate the sum of the interior angles
  • A. 540o
  • B. 720o
  • C. 1080o
  • D. 1800o
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Correct Answer: Option D
Explanation
number of sides = \(\frac{360^o}{\theta} = \frac{360^o}{306o}\)

n = 12o

Sum of interior angle = (n - 2) 180o

(12 - 2) 180v = 10 x 180o

= 1800o

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