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3.How many sides does a regular polygon have if the measure of an exterior angle is \(24^{\circ}\)?


Answer :

We know that sum of all exterior angles of a regular polygon = \(360^{\circ}\)
So we have,Number of sides=\(\frac{360^{\circ}}{measure\; of \;an\;angle}\)
Hence, the number of sides of the regular polygon is= 15

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