Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 2 - Section 2.4 - The Angles of a Triangle - Exercises - Page 98: 31

Answer

1. By the vertical angles theorem, angle PKM is congruent to angle NKQ. 2. We are told that angle M and Q are congruent. 3. All triangles have a sum of their angles of 180 degrees. 4. Thus, if both triangles have the same sum of their angles, and the other two angles are the same, then P and N are congruent.
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