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Find the number of sides of a regular polygon whose interior angle is twice the...

Mathematics
JAMB 2001

Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.
  • A. 6
  • B. 2
  • C. 3
  • D. 8
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Correct Answer: Option A
Explanation
Let the ext. angle = x
Thus int. angle = 2x
But sum of int + ext = 180 (angle of a straight line).
2x + x = 180
3x = 180
x = 180/3 = 60

Each ext angle = 360/n
=> 60 = 360/n
n = 360/60 = 6

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