Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - 4-2 Triangle Congruence by SSS and SAS - Practice and Problem-Solving Exercises - Page 231: 14

Answer

They are congruent.

Work Step by Step

In order to use the SAS postulate, you must prove that two different sets of sides are congruent. Then, you must show that the angle joining those two sides is congruent for the two triangles as well. We see that one angle and one side are labeled as congruent. We see that the two triangles share a common side, which is congruent to itself. This means that the SAS postulate is valid here.
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