## Thinking Mathematically (6th Edition)

Angle formed by one spoke is$45{}^\circ$.
It is known that there are 360° in a complete revolution. The total angle formed by all spokes of the umbrella will be 360°. There are total 8 spokes in the umbrella and it is given that all the spokes are making an equal angle. Thus, calculate the angle formed by one spoke as follows: \begin{align} & \text{Angle by a spoke}=\frac{\text{Total degrees by the umbrella}}{\text{No}\text{. of spoke}} \\ & =\frac{360{}^\circ }{8} \\ & =45{}^\circ \end{align}