Q. 93.9( 12 Votes )
How many sides does a regular polygon have if the measure of an exterior angle is 24°?
Answer :
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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