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:No.of spokes4681012Angle between a pair of consecutive spokes90∘60∘………(i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.(iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is 40∘ ?

Rehman is making a wheel using spokes. He wants to fix equal spokes in

1.	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:No.of spokes4681012Angle between a pair of consecutive spokes90∘60∘………(i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.(iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is 40∘ ?
Answer» 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: $\begin{matrix} N o . o f s p o k e s & 4 & 6 & 8 & 10 & 12 A n g l e b e t w e e n a p a i r o f c o n s e c u t i v e s p o k e s & 90^{\circ} & 60^{\circ} & \dots & \dots & \dots \end{matrix}$ (i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion? (ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes. (iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is $40^{\circ}$ ?