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In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number...

Mathematics
JAMB 2000

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon.

  • A. 8
  • B. 6
  • C. 4
  • D. 3
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Correct Answer: Option B
Explanation

2x + x = 180°, => 3x = 180°, and thus x = 60°

Each exterior angle = 60° but size of ext. angle = 360°/n
Therefore 60° = 360°/n
n = 360°/60° = 6 sides

There is an explanation video available below.


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Explanation Video

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