Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 4 - Test - Page 216: 12b

Answer

$\angle R$ and $\angle V$ are supplementary AND $\angle S$ and $\angle T$ are supplementary

Work Step by Step

In trapezoid $RSTV$ with $RS\parallel TV$, there are two sets of supplementary angles. $\angle R$ and $\angle V$ are supplementary AND $\angle S$ and $\angle T$ are supplementary by theorem 2.1.4: If two parallel lines are cut by a transversal, then the interior angles on the same side of the transversal are supplementary.
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