Ratio of number of sides of two regular polygons is 5: 6 and ratio of their each interior angle is in the ratio 24: 25. Then the no. of sides of these two polygon are
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Answered by
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20
Step-by-step explanation:
Solution
20
Given,
Each angle =162
0
Let the number of the sides be n.
Formula used:
Each angle of n side of polygon =
n
(n−2)×180
0
Apply the above formula, we get
n
(n−2)×180
0
=162
0
n
(n−2)×10
=9
10n−20=9n
10n−9n=20
n=20
Hence, the number of sides is 20.
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Answer: Solution
Let the number of sides of two regular
polygons are 5n and 6n respectively and
their each interior angle are 24x
∘
and 25x
∘
respectively
Then as per question--
∵
(2×6n−4)×90
∘
(2×5n−4)×90
∘
=
6n×25x
∘
5n×24x
∘
⇒
12n−4
10n−4
=
5
4
⇒ 50n−20=48n−16
⇒ (50−48)n=20−16
∴ n=2
Hence the actual number of sides of these
polygons are = 10 and 12
Step-by-step explanation: PLZ MARK ME BRAINLIEST
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