Desirae Kirby

2023-03-14

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

Ligurischjz1

To determine the number of sides, use the polygon's exterior angle sum property:
It is given that a regular polygon has the measure of an exterior angle $24°$.
Since according to the exterior angle sum property of the polygon,
(number of sides) $×$(the measure of each exterior angle) $=360°$[Using exterior angle property]
$⇒$ (number of sides) $×$$24°=360°$
$⇒$ Number of sides $=\frac{360°}{24°}$
$⇒$$=15$
Hence, the polygon has $15$sides.

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