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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
...
...
..
How many spokes would be needed, if the angle between a pair of consecutive spokes is 40?

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Solution

No.ofspokes=n,totalangleinthewheel=360Anglebetweeneachspoke=360nAnglebetweeneachspoke(n=8)=3608=45Anglebetweeneachspoke(n=10)=36010=36Anglebetweeneachspoke(n=12)=36012=30Anglebetweeneachspoke=40=360nSon=36040=9

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