How many sides does a regular polygon have if the meausre of an exterir angle is 24 °
Answers
Answered by
2
Answer:
15
Step-by-step explanation:
Number of angles of a polygon = number of sides
The sum of exterior angles of a polygon = 360⁰
So, measure of each angle = 24°
Or, number of exterior angles = 360/24
=15
So, number of sides = 15
Answered by
0
Answer:
Here, let the number of sides of the polygon be n
So, the number of exterior angles is n
Since it is a regular polygon, each exterior angles are equal to one another.
∴ The sum of the exterior angles =360
o
∴ Each angle =θ= n 360 o
⟹n= 360 o / θ
Here θ=24 o
∴n= 360o /24 o
=15
Hence, the answer is 15.
hope it helps
tq..........////////
Step-by-step explanation:
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