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 127: 36

Answer

x=18

Work Step by Step

Use the Vertical Angle Theorem, which tells us the measures of vertical angles are equal, to write and solve an equation. $63=4x-9\longrightarrow$ Vertical Angle Theorem $72=4x\longrightarrow$ addition property of equality $18=x\longrightarrow$ division property of equality
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