Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 6 - Section 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 315: 23a

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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