Geometry: Common Core (15th Edition)

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

Chapter 6 - Polygons and Quadrilaterals - 6-2 Properties of Parallelograms - Practice and Problem-Solving Exercises - Page 366: 46



Work Step by Step

If $\overline{DE} \parallel \overline{GF}$, then $\overline{DG}$ is considered a transversal. This means that $\angle D$ and $\angle G$ are same-side interior angles, and same-side interior angles are supplementary. So if we add these two angles together, then their sum would be $180^{\circ}$. So option $G$ would be the correct answer choice.
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