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The interior angle of a regular polygon is twice the exterior angle. How many sides…

The interior angle of a regular polygon is twice the exterior angle. How many sides has the polygon?

  • A.
    5
  • B.
    6
  • C.
    8
  • D.
    9
Correct Answer: Option B
Explanation

Let the exterior angle = d

Note: Exterior angle + Interior angle = 180°

(implies) d + 2d = 180°

3d = 180° (implies) d = 60°

Recall, exterior angle = (frac{360}{text{no of sides}})

(therefore text{No of sides} = frac{360}{60})

= 6 sides

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