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

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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