Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 3 - Review Exercises - Page 165: 9

Answer

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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.