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: 42


The given statement is false.

Work Step by Step

Now, let the first angle be\[m\measuredangle 4=72{}^\circ \]and the second angle be\[m\measuredangle 5=52{}^\circ \].It is given that the two lines are parallel and another two non-parallel lines intersects them. Then, \[\angle \]3 and \[\angle \]5 are corresponding angles and corresponding angles are equal. Then, compute the measurement of \[\angle \]3 as shown below. \[\begin{align} & \measuredangle 3=\measuredangle 5\left( \text{Corresponding}\,\text{Angles} \right) \\ & \measuredangle 3=52{}^\circ \end{align}\]
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