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

Mathematics

JAMB 2005

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

A. 30^o
B. 24^o
C. 18^o
D. 12^o

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Correct Answer: Option A

Explanation

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

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

Correct Answer: Option A

Explanation

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