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How many sides does a regular polygon have if the measure of an exterior angle is 24°? - Mathematics

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Question

How many sides does a regular polygon have if the measure of an exterior angle is 24°?

Sum

Solution

Sum of all exterior angles of the given polygon = 360º

Measure of each exterior angle = 24º

Thus, number of sides of the regular polygon = `360^@/24^@ = 15`

The polygon has 15 sides.

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Chapter 3: Understanding Quadrilaterals - Exercise 3.2 [Page 44]

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NCERT Mathematics [English] Class 8
Chapter 3 Understanding Quadrilaterals
Exercise 3.2 | Q 3 | Page 44

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