Elementary Geometry for College Students (6th Edition)

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

Chapter 1 - Section 1.7 - The Formal Proof of a Theorem - Exercises - Page 56: 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 $\angle 1 \cong \angle 3$
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.