Geometry: Common Core (15th Edition)

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

Chapter 5 - Relationships Within Triangles - Chapter Review - Page 343: 19


$\angle XYZ = 40^{\circ}$

Work Step by Step

If $P$ is the incenter, that means this is the point where all angle bisectors meet. Because $\angle XYZ$ is bisected by $\overline{PY}$, $\angle XYZ$ is the sum of $\angle XYP$ and $\angle ZYP$, so if $\angle XYP$ is $20^{\circ}$, then $\angle XYZ$ is $40^{\circ}$.
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