Elementary Geometry for College Students (6th Edition)

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

Chapter 3 - Review Exercises - Page 165: 9


The answer is below.

Work Step by Step

1. We are told XYZ is an isosceles triangle, so angle Y and Z are congruent by the definition of isosceles triangles. 2. Since YZ and XA are parallel, angle one is congruent to angle Y by the corresponding angles theorem, and angle Z is congruent to angle 2 by the alternate interior angles theorem. 3. From (1), we know that Y and Z are congruent, so the angles that are congruent to either Y or Z are congruent to each other. 4. Thus, angles one and two are congruent.
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