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

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Question

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

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Solution

At a vertex of a regular polygon, exterior angle is 120°. Then the number of sides of this polygon is 3.

Explanation:

The sum of all exterior angles of a regular polygon is always 360°. Given that each exterior angle measures 120°, the number of sides n is calculated as:

`n = \frac{360^\circ}{120^\circ} = 3`

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Chapter 13: Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium] - TEST YOURSELF [Page 203]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 13 Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
TEST YOURSELF | Q 1. (b) | Page 203
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