each exterior angle of a regular polygon is 22.5 degree find the number of sides of the polygon
Answers
Answered by
5
Answer:
16
Step-by-step explanation:-
They have given measure of
Each exterior angle = 22.5
Now,
⇒ 22.5 = 360/n
⇒ n = 360/22.5
⇒ n = 16
The number of sides in the polygon is 16
Answered by
4
Answer:
The number of sides of the regular polygon = 16
Step-by-step explanation:
Given,
Each exterior angle of regular polygon = 22.5°
To find,
The number of sides of the polygon
Recall the formula,
Each exterior angle of a regular polygon = , where n is the number of sides of the polygon
Solution:
Since it is given that Each exterior angle of regular polygon = 22.5° we have
= 22.5
22.5n = 360
n =
n = 16
∴The number of sides of the regular polygon = 16
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