In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number…

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon

Correct Answer: Option B

Explanation

2x + x = 180^o
3x = 180^o
x = 60^o (exterior angle of the polygon)
angle = (frac{text{total angle}}{text{number of sides}})
60 = (frac{360}{n})
n = (frac{360}{60})
n = 6 sides

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