Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter P - Preliminary Concepts - P.3 - Informal Geometry and Measurement - Exercises P.3 - Page 24: 28

Answer

No

Work Step by Step

Angles 7 and 8 are not congruent. Since the sum of the angles must equal 360 degrees, and the other two angles are each 90 degree angles, angles 7 and 8 would only be congruent if they were both 90 degrees. This is not necessarily the case, so they are not necessarily congruent.
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