Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 9 - Review - Page 686: 11

Answer

$\angle a+\angle b= 47^{\circ}+133^{\circ}=180^{\circ}$ $\angle a+\angle d= 47^{\circ}+133^{\circ}=180^{\circ}$ $\angle c+\angle b= 47^{\circ}+133^{\circ}=180^{\circ}$ $\angle c+\angle d= 47^{\circ}+133^{\circ}=180^{\circ}$

Work Step by Step

Two angles are supplementary if they add up to $180^{\circ}$, which is a straight angle. In the picture, there are 4 different straight angles, therefore there will be 4 different pairs of supplementary angles. $\angle a+\angle b= 47^{\circ}+133^{\circ}=180^{\circ}$ $\angle a+\angle d= 47^{\circ}+133^{\circ}=180^{\circ}$ $\angle c+\angle b= 47^{\circ}+133^{\circ}=180^{\circ}$ $\angle c+\angle d= 47^{\circ}+133^{\circ}=180^{\circ}$
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