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Question

Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table.
Number of spokes
4
6
8
10
12
Angle between a pair of consecutive spokes
90
60
...
...
..
Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
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Solution

No. of spokes =n
Total angle in the wheel =360
Angle between each spoke =360n
Angle between each spoke (n=8)=3608=45
Angle between each spoke (n=10)=36010=36
Angle between each spoke (n=8)=36012=30
Yes, they are inversely proportional.
4=>90
6=>60
8=>45
10=>36
12=>30

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