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Each of the interior angles of a regular polygon is 140°. Calculate the sum of...

Mathematics
JAMB 2019

Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon.

  • A. 1080°
  • B. 1260°
  • C. 2160°
  • D. 1800°
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Correct Answer: Option B
Explanation

Since each interior angle = 140°;

Each exterior angle = 180° - 140° = 40°

Number of sides of the polygon = \(\frac{360°}{40°}\)

= 9 

Sum of angles in the polygon = 140° x 9

= 1260°

There is an explanation video available below.


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Explanation Video

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