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

MATHEMATICS

WAEC 2014

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

A. 540°
B. 720°
C. 1080°
D. 1800°

Correct Answer: D. 1800°

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

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