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

Desirae Kirby

Desirae Kirby

Answered question

2023-03-14

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

Answer & Explanation

Ligurischjz1

Ligurischjz1

Beginner2023-03-15Added 4 answers

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 =360°24°
=15
Hence, the polygon has 15sides.

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