Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 6 - Section 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 302: 20b

Answer

arc XY$\lt$arc YZ

Work Step by Step

When there are two unequal arcs in a circle, the larger arc corresponds to the larger inscribed angle that intercepts it. Since angle 1 is smaller than angle 2, arc XY must be smaller than arc YZ.
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