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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 1800o. Calculate the size of one exterior angle of the polygon
  • A. 30o
  • B. 24o
  • C. 18o
  • D. 12o
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Correct Answer: Option A
Explanation
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

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts