a) The difference between the ex-
terior angles of two regular poly-
gons having sides equal to (n-1)
and ( n +1 ) is 90. Find the value of
(3)
n
Answers
Answered by
1
Answer:
When number of sides of a regular polygon = n−1,
The value of its each exterior angle =
n−1
360
When number of sides of a regular polygon = n+1,
The value of its each exterior angle =
n+1
360 °
Given,
n−1
360 °
n+1
360°=9
⇒360
∘
(n+1)−360
∘
(n−1)=9
∘
(n+1)(n−1)
⇒360
∘
[n+1−(n−1)]=9
∘
(n+1)(n−1)
⇒360
∘
(2)=9
∘
(n
2
−1)
⇒40
∘
(2)=n
2
−1
⇒80
∘
=n
2
−1
⇒n
2
=81
⇒n=9
Step-by-step explanation:
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Answered by
3
Answer:
here is ur answer
Step-by-step explanation:
take to be equation to be (n+1) =90(n+1)
It becomes (n+1)n ×(n-1)= 90(n-1),
(n+1)n = 90 or
n² + n-90= 0
(n+10) (n-9) =0
n=-10 or 9
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