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: 45

Answer

$x=12^\circ$ The two angles are: $11\times 12^\circ-20^\circ=112^\circ$ $7\times12^\circ+28^\circ=112^\circ$

Work Step by Step

The two given angles form a straight angle, which means that they are equal. $7x+28^\circ=11x-20^\circ$ $48^\circ=4x$ $x=12^\circ$ The two angles are: $11\times 12^\circ-20^\circ=112^\circ$ $7\times12^\circ+28^\circ=112^\circ$
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