Elementary Geometry for College Students (6th Edition)

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

Chapter 6 - Review Exercises - Page 307: 35c



Work Step by Step

Since the measure of a central angle is equal to the measure of its intercepted arc, angle AQB must be greater than angle CQD. Triangles AQB and CQD are isosceles triangles with radii for congruent sides. The larger the vertex angle of an isosceles triangle, the smaller the measure of the base angles. By this logic angle A must be smaller than angle C.
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