Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?
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Correct Answer: Option A
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)
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)