Elementary Geometry for College Students (7th Edition) Clone

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

Chapter 6 - Section 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 311: 25a

Answer

m$\angle$AOB$\gt$m$\angle$BOC

Work Step by Step

When there are two unequal central angles in a circle, the larger angle corresponds to the larger intercepted arc. Since arc AB is larger than arc BC, angle AOB must be larger than angle BOC.
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