Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - 1-4 Measuring Angles - Practice and Problem-Solving Exercises - Page 32: 29



Work Step by Step

Use the definition of congruent angles and the given values. $4x-2=2x+14$ Add 2 to each side. $4x-2+2=2x+14+2$ $4x=2x+16$ Subtract 2x from each side. $4x-2x=2x+16-2x$ $2x=16$ Divide each side by 2. $2x\div2=16\div2$ $x=8$ Substitute for x to check the result. $4x-2\overset?=2x+14$ $4(8)-2\overset?=2(8)+14$ $32-2\overset?=16+14$ $30=30\checkmark$
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