Rehman is making a wheel using spokes. He wants to fix equal spokes n such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table.
(i) Are the number of spokes and the angle 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^∘`?

Explanation

Here, the given solution is:


Let, number of spokes be `x` and the angle between the pair of consecutive spokes be `y`


Two numbers `x` and `y` are said to be in inverse proportion when an increase in one quantity decreases the other quantity and vice versa


`xy = k or x = (1/y) k`


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