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In a regular polygon, each interior angle doubles its corresponding exterior ang...


Question

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

Options

A) 8

B) 6

C) 4

D) 3

The correct answer is B.

Explanation:

2x + x = 180°, => 3x = 180°, and thus x = 60°
Each exterior angle = 60° but size of ext. angle = 360°/n
Therefore 60° = 360°/n
n = 360°/60° = 6 sides

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Dicussion (1)

  • 2x + x = 180°, => 3x = 180°, and thus x = 60°
    Each exterior angle = 60° but size of ext. angle = 360°/n
    Therefore 60° = 360°/n
    n = 360°/60° = 6 sides

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