Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 2 - Section 2.1 - The Parallel Postulate and Special Angles - Exercises: 20

Answer

1. Given 2. corresponding angles are congruence 3. vertical angles are congruence 4.m $\parallel$n 5. Corresponding angles are congruence 6.$\angle$1 $\cong$ $\angle$ 4, transitive properties proven

Work Step by Step

1. Given 2. As l and m are parallel then $\angle$1 and $\angle$2 that is corresponding angles are congruence 3. all vertical angles are congruence. Therefore $\angle$2 and $\angle$3 are congruent 4. the given statement is m $\parallel$ n 5. As m and n are parallel then $\angle$3 and $\angle$4 that is corresponding angles are congruence 6.by using transitive properties we can prove that $\angle$1 $\cong$ $\angle$ 4
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