Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 3 - Parallel and Perpendicular Lines - 3-2 Properties of Parallel Lines - Practice and Problem-Solving Exercises: 18

Answer

p=32

Work Step by Step

The labeled angle forms a corresponding angle pair with the angle marked as a right angle. The corresponding angle theorem tells us the pair is congruent, so both are right angles. $3p-6=90\longrightarrow$ definition of right angle $3p=96\longrightarrow$ addition property of equality $p=32$ division property of equality
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