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The sum of the interior angle of a regular polygon is 1800

The sum of the interior angle of a regular polygon is 1800o. Calculate the size of one exterior angle of the polygon

A.

30o

B.

24o

C.

18o

D.

12o

View answer & explanation

Correct answer is A

Sum of interior ∠s = 1800o
∴(n - 2) 180o = 1800o
180n -360o = 1800o
180n = 1800o + 360o
180n = 2160o
n = 2160o/180o
n = 12 sides
Each exterior ∠ = 360o/n
= 360o/12
= 30o

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