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Mathematics

At a vertex of a regular polygon, exterior angle is 120°. Then the number of sides of this polygon is:

  1. 3

  2. 4

  3. 5

  4. 6

Rectilinear Figures

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Answer

Given, exterior angle = 120°.

The sum of the exterior angles of any convex polygon is 360°. For a regular polygon, all exterior angles are equal.

Let the number of sides of polygon be n.

By formula,

For a regular polygon,

Number of sides in it = 360°Each exterior angle=360°120°\dfrac{360°}{\text{Each exterior angle}} = \dfrac{360°}{120°} = 3.

Hence, option 1 is the correct option.

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