Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 1 - Section 1.5 - The Formal Proof of a Theorem - Exercises - Page 68: 28

Answer

1. Given 2. Definition 3. Substitution 4. Substraction Property of Equality 5. Definition

Work Step by Step

1. $\angle 1$ is supplementary to $\angle 2$ $\angle 3$ is supplementary to $\angle 2$ 2. $m\angle1 +m\angle2 =180^{\circ}$ $m\angle3 +m\angle2 =180^{\circ}$ 3. $m\angle 1 +m\angle2 =m\angle3 + m\angle 2$ 4. $m\angle 1=m\angle3$ ( By subtracting $m\angle 2$ from both sides) 5. If two angles have the same angle measure, they are congruent. Therefore $\angle 1 \cong \angle 3$
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