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