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: 7

Answer

$x=38$ $y=104$

Work Step by Step

Use the Vertical Angles Theorem to write an equation and solve for x. $2x=76\longrightarrow$ Division property of equality; Divide by 2 $x=38$ A linear pair is supplementary. $76+y=180\longrightarrow$ Subtraction property of equality; Subtract 76 $y=104$
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