Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.1 Points, Lines, Planes, and Angles - Exercise Set 10.1 - Page 617: 55


Angle formed by one spoke is\[45{}^\circ \].

Work Step by Step

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: \[\begin{align} & \text{Angle by a spoke}=\frac{\text{Total degrees by the umbrella}}{\text{No}\text{. of spoke}} \\ & =\frac{360{}^\circ }{8} \\ & =45{}^\circ \end{align}\]
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