Geometry: Common Core (15th Edition)

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

Chapter 3 - Parallel and Perpendicular Lines - 3-1 Lines and Angles - Practice and Problem-Solving Exercises: 19

Answer

$\angle$5 and $\angle$ 6 (lines d and e with transversal b) $\angle$2 and $\angle$4 (lines b and e with transversal c)

Work Step by Step

Same-side interior angles are angles found on the same side of a transversal that intersects two lines. In the case of $\angle$5 and $\angle$6, line segment b is the transversal that intersects line segments d and e. As a result, two interior angles are formed--one at the intersection of transversal b with line d ($\angle$6) and the other at the intersection of transversal b with line e ($\angle$5). Likewise, in the case of $\angle$2 and $\angle$4, line segment c is the transversal that intersects line segments b and e. As a result, two interior angles are formed--one at the intersection of transversal c with line segment b ($\angle$4) and the other at the intersection of transversal c with line segment e ($\angle$2).
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