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: 16

Answer

Both angles measure 65.

Work Step by Step

The labeled angle form a corresponding angle pair. The corresponding angle theorem tells us they are congruent, so they have the same measure. $3x-10=x+40\longrightarrow$ definition of congruent $2x-10=40\longrightarrow$ subtraction property of equality $2x=50\longrightarrow$ addition property of equality $x=25\longrightarrow $ division property of equality Substitute to find the angle measures. $3x-10=3(25)-10=75-10=65$ $x+40=25+40=65$
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