Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - 1-5 Exploring Angle Pairs - Practice and Problem-Solving Exercises: 34

Answer

$m\angle BCD=25$

Work Step by Step

Because $\angle FCA$ and $\angle ACD$ are a linear pair and $m\angle FCA$ is a right angle, we know that$\angle ACD$ is also a right angle. Angle Addition Postulate: $m\angle ACB+m\angle BCD=m\angle ACD$ $65+m\angle BCD=90$ $65+m\angle BCD-65=90-65$ $m\angle BCD=25$
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