3. 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.

Number of spokes

Angle between

a pair of consecutive spokes

4

90°

6

8

10

12

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°?

Give it without words and only with sums and don't mention the thing we want to do

4 spokes:

\[
\frac{360^\circ}{4} = 90^\circ
\]

6 spokes:

\[
\frac{360^\circ}{6} = 60^\circ
\]

8 spokes:

\[
\frac{360^\circ}{8} = 45^\circ
\]

10 spokes:

\[
\frac{360^\circ}{10} = 36^\circ
\]

12 spokes:

\[
\frac{360^\circ}{12} = 30^\circ
\]

15 spokes:

\[
\frac{360^\circ}{15} = 24^\circ
\]

40° angle:

\[
\frac{360^\circ}{40^\circ} = 9 \text{ spokes}
\]

Learn how to calculate angles between consecutive spokes on a wheel with different numbers of spokes. Includes solutions for 4, 6, 8, 10, and 12 spokes, and calculations for 15 spokes and a 40° angle. Ideal for students learning basic geometry and angle calculations in Grades 5-7.

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