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: 20a

Answer

m$\angle$1$\gt$m$\angle$2

Work Step by Step

When there are two unequal inscribed angles in a circle, the larger angle corresponds to the larger intercepted arc. Since arc XY is larger than arc YZ, angle 1 must be larger than angle 2.
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