Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - Chapter Review: 19

Answer

$x=14$

Work Step by Step

The diagram tells us that $m\angle NQM=m\angle PQR$. Therefore, we should equate the given expressions for these two angles and solve the resulting equation using the properties of equality: $$2x+8=x+22$$$$2x-x=22-8$$$$x=14$$
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