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 copleting the table. Number of spokes `4, 6, 8, 10, 12` Angle between a pair of consercutive spokes `90^@ 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^@` ?

Explanation

To solve the problem step by step, we will first complete the table for the number of spokes and the angles between consecutive spokes, then answer the three parts of the question.

### Step 1: Complete the Table

We know that the total angle around a wheel is 360 degrees. The angle between consecutive spokes can be calculated using the formula:

\[
\text{Angle between spokes} = \frac{360^\circ}{\text{Number of spokes}}
...