Question
How many sides does a regular polygon have, if an exterior angle is $24^{\circ}$ ?
✓
Answer
We know that the sum of exterior angles of any polygon is $360^{\circ}$.
Given, each exterior angle $=24^{\circ}$
$\therefore \quad$ Number of exterior angles $=\frac{360^{\circ}}{\text { Each exterior angle }}$
$=\frac{360^{\circ}}{24^{\circ}}=15$
Hence, the number of sides of a regular polygon is 15 .
Given, each exterior angle $=24^{\circ}$
$\therefore \quad$ Number of exterior angles $=\frac{360^{\circ}}{\text { Each exterior angle }}$
$=\frac{360^{\circ}}{24^{\circ}}=15$
Hence, the number of sides of a regular polygon is 15 .
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