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# 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,(ii)Calculate the angle between a pair

Q3. 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.

(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.

 Number of spokes 4 6 8 10 12 Angle between a pair of consecutive $90^{\circ}$ $60^{\circ}$ .... .... ....

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The angle between a pair of consecutive spokes on a wheel with 15 spokes is calculated as:

as we know the constant value $'k=360^{\circ}'$ then we can easily calculate the angle for 15 spokes:

$\frac{360^{\circ}}{15}=24^{\circ}$

Hence angle made is 24 degrees.

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