Answer :

(i) The table of the required information is as follows:

4 × 90° = 6 × 60° = 360°

Therefore the number of spokes and the angles formed between the pairs of consecutive spokes is in inverse proportion.

(ii) 4 × 90° = 15 × angle

Angle = 24°

the angle between a pair of consecutive spokes on a wheel with 15 spokes is 24°

(iii) 4 × 90° = 40° × spokes

→spokes = 9

9 spokes would be needed, if the angle between a pair of consecutive spokes is 40°

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