Geometry: Common Core (15th Edition)

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

Chapter 2 - Reasoning and Proof - 2-6 Proving Angles Congruent - Practice and Problem-Solving Exercises - Page 124: 6

Answer

$x=20$

Work Step by Step

Use the Vertical Angles Theorem to write an equation and solve for x. $3x=80-x\longrightarrow$ Addition property of equality; Add x $4x=80\longrightarrow$ Division property of equality; Divide by 4 $x=20$
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