Each of the interior angles of a regular polygon is 140°. How many sides has the polygon?
-
9
- 8
- 7
- 5
The correct answer is: 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)
There is an explanation video available .