Elementary Geometry for College Students (6th Edition)

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

Chapter 2 - Section 2.1 - The Parallel Postulate and Special Angles - Exercises - Page 75: 19


1. given 2. Corresponding $\angle$s are $\cong$ 3. Vertical $\angle$s are $\cong$ 4. $\angle$ 3 $\cong$ $\angle$4 5.$\angle$ 1 $\cong$ $\angle$4

Work Step by Step

1. Given 2. If two parallel line l and m cut by transversal t, then corresponding angles of 1 and 2 are congruent 3. By theorem all vertical angles are congruent 5. By theorem of transitive, if $\angle$1 $\cong$ $\angle$ 2, then $\angle$2 $\cong$ $\angle$ 3 therefore $\angle$1 $\cong$ $\angle$ 3
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