Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - Mid-Chapter Quiz - Page 41: 23



Work Step by Step

The single arcs tell us that $\angle FCA\cong\angle ECD$. $m\angle FCA+m\angle ECD+m\angle FCE=180$ Substitute: $50+50+m\angle FCE=180$ $100+m\angle FCE=180$ Subtract 100 from each side: $100+m\angle FCE-100=180-100$ $m\angle FCE=80$
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