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

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

Therefore,

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