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: 44

Answer

$x=4^\circ$ The two angles are: $3\times 4^\circ+134^\circ=146^\circ$ $6\times4^\circ+10^\circ=34^\circ$

Work Step by Step

The two given angles form a straight angle, which means that their sum is $180^\circ$. $3x+134^\circ+6x+10^\circ=180^\circ$ $9x+144^\circ=180^\circ$ $9x=36^\circ$ $x=4^\circ$ The two angles are: $3\times 4^\circ+134^\circ=146^\circ$ $6\times4^\circ+10^\circ=34^\circ$
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