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The number of sides in a regular polygon having measure of an exterior angle as 72° is ______. - Mathematics

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Question

The number of sides in a regular polygon having measure of an exterior angle as 72° is ______.

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Solution

The number of sides in a regular polygon having measure of an exterior angle as 72° is 5.

Explanation:

We know that, the sum of exterior angles of any polygon is 360°.

The number of sides in a regular polygon = `360^circ/"Exterior angle"`

∴ The number of sides in given polygon = `360^circ/72^circ` = 5

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Chapter 5: Understanding Quadrilaterals and Practical Geometry - Exercise [Page 152]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 80. | Page 152
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