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.
Elementary Geometry for College Students (6th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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
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