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: 46

Answer

$x=9^\circ$ The two angles are: $12\times 9^\circ-3^\circ=105^\circ$ $10\times9^\circ+15^\circ=105^\circ$

Work Step by Step

The two given angles are alternate interior angles, which means that they are equal. $12x-3^\circ=10x+15^\circ$ $2x=18^\circ$ $x=9^\circ$ The two angles are: $12\times 9^\circ-3^\circ=105^\circ$ $10\times9^\circ+15^\circ=105^\circ$
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