Geometry: Common Core (15th Edition)

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

Chapter 2 - Reasoning and Proof - 2-6 Proving Angles Congruent - Practice and Problem-Solving Exercises - Page 125: 13

Answer

a) 90 b) 90 c) m$\angle3$ d) congruent

Work Step by Step

a&b) Complementary angles are defined as angles whose measures have a sum of 90. c) $m\angle1+m\angle2-m\angle2=m\angle3+m\angle2-m\angle2$ simplifies to $m\angle1=m\angle3$ d) Congruent angles are defined as angles with the same measure.
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