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Calculate the interior angle of a 5 - sided regular polygon

Mathematics
JAMB 2025

Calculate the interior angle of a 5 - sided regular polygon

  • A. 120º
  • B. 90º
  • C. 108º
  • D. 180º
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Correct Answer: Option C
Explanation

To calculate the interior angle of a regular polygon, we use the formula:

\(\text{Interior Angle} = \frac{(n - 2) \times 180^\circ}{n}\)

where \( n \) is the number of sides. For a 5-sided polygon (pentagon):

\(\text{Interior Angle} = \frac{(5 - 2) \times 180^\circ}{5} = \frac{3 \times 180^\circ}{5} = \frac{540^\circ}{5} = 108^\circ\)

Thus, the interior angle of a regular pentagon is \( 108^\circ \).

There is an explanation video available below.


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Explanation Video

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