JAMB - Mathematics (2021 - No. 19)

Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?
9
8
7
5

Explanation

Each interior angle = \(\frac{(n - 2)180}{n}\)

140 = \(\frac{(n - 2)180}{n}\)

Cross multiply:

140n = 180n - 360

40n = 360

n = 9 sides ( A Nonagon)

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