the difference between the exterior angle of a ( n - 1 ) sides regular polygon and a(n + 1) sided regular polygon is 15 degree find the value lf n
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0
Answer:
Exterior angle of a n sided regular polygon =
n
360
∘
According to the question,
n−1
360
∘
−
n+1
360
∘
=15
∘
n−1
1
−
n+1
1
=
360
∘
15
∘
=
24
1
(n−1)(n+1)
n+1−n+1
=
24
1
n
2
−1
2
=
24
1
n
2
−1=24×2=48
n
2
=49=7
2
∴n=7
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Answer:
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Step-by-step explanation:
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