Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.2 Angles and Their Relationships - 8.2 Exercises: 6

Answer

$\angle$AQB and $\angle$BQC $\angle$BQC and $\angle$DQC $\angle$DQC and $\angle$DQA $\angle$DQA and $\angle$AQB

Work Step by Step

The angles $\angle$AQB and $\angle$BQC are supplementary angles. $\angle$AQB + $\angle$BQC = 140$^{\circ}$ + 40$^{\circ}$ = 180$^{\circ}$ The angles $\angle$BQC and $\angle$DQC are supplementary angles. $\angle$BQC + $\angle$DQC = 40$^{\circ}$ + 140$^{\circ}$ = 180$^{\circ}$ The angles $\angle$DQC and $\angle$DQA are supplementary angles. $\angle$DQC + $\angle$DQA = 40$^{\circ}$ + 140$^{\circ}$ = 180$^{\circ}$ The angles $\angle$DQA and $\angle$AQB are supplementary angles. $\angle$DQA + $\angle$AQB = 40$^{\circ}$ + 140$^{\circ}$ = 180$^{\circ}$
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