Q9 of 35 Page 3

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

We know that, sum of all exterior angles of the given polygon = 360o

Measure of each exterior angle = 24o


Measure of each exterior angle of a regular polygon = 360º/n

where, n = number of sides of polygon

From the given,

24° = 360° / n


n = 15

So there are 15 sides of the polygon with 24° as each exterior angle.

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