Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - 1-5 Exploring Angle Pairs - Practice and Problem-Solving Exercises - Page 38: 25


$m\angle EFG=69$ $m\angle GFH=111$

Work Step by Step

Use the definition of a linear pair: $m\angle EFG+m\angle GFH=180$ Substitute: $(2n+21)+(4n+15)=180$ Combine like terms: $6n+36=180$ Subtract 36 from each side: $6n+36-36=180-36$ $6n=144$ Divide each side by 6: $6n\div6=144\div6$ $n=24$ Substitute to find the measures: $m\angle EFG=2n+21=2(24)+21=48+21=69$ $m\angle GFH=4n+15=4(24)+15=96+15=111$
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