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

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Question

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

Sum
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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 24]

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NCERT Mathematics [English] Class 8
Chapter 3 Understanding Quadrilaterals
EXERCISE 3.2 | Q 3. | Page 24

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