Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - Mid-Chapter Quiz - Page 243: 13

Answer

The two angles are congruent by the vertical angles theorem.

Work Step by Step

We see that angles H and K are alternate interior angles since HL and KJ are marked as congruent. Thus, they are congruent by the alternate interior angles theorem. We also see that angle HNL is congruent to KNJ. After all, the two angles form vertical angles. So, the two angles are congruent by the vertical angles theorem.
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