Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - 1-3 Measuring Segments - Apply What You've Learned - Page 26: b

Answer

5a+12 = 9a-12; a=6

Work Step by Step

Between the angles C and E, there are two equations containing 'a'. By setting the two equations equal to each other, you can find the value of a. $5a+12 = 9a-12$ Get the a on one side. To do this, subtract 5a from both sides, and add 12 to both sides. $24= 4a$ Divide both sides by 4 $6=a$ or $a=6$
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