Question

If a wheel has six spokes equally spaced, then find the measure of the angle between two adjacent spokes.

Answer 1

It is given that the six spokes are equally spaced, thus, two adjacent spokes subtend equal angle at the centre of the wheel.

Let that angle measures x°

Also, the six spokes form a complete angle, that is, 360°

Therefore,

`x + x+ x + x+ x+x = 360°`

                       ` 6x = 360°`

                         ` x = (360°)/6`

                         ` x = 60°`

Hence, the measure of the angle between two adjacent spokes measures 60°.