Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 6 - Section 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 302: 24a

Answer

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

Work Step by Step

The larger a central angle is, the larger the chord will be that connects its endpoints. Since AB is greater than BC, angle AOB must be larger than BOC as well.
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