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: 29

Answer

1. Given 2. Definition 3. Angle Addition Postulate 4. Substitution 5. Substraction Property of Equality 6. Definition
1503651980

Work Step by Step

1. $f$ and $g$ intersect. 2. Both $\angle ACD$ and $\angle BCE$ are straight angles. 3. $m\angle ACD = m\angle ACE +m\angle ECD = 180^{\circ}$ $m\angle BCE = m\angle ACE +m\angle ACB = 180^{\circ}$ 4. $m\angle ACE +m\angle ECD = m\angle ACE +m\angle ACB$ 5. $m\angle ECD = m\angle ACB$ 6. If two angles have the same angle measure, they are congruent. Therefore $\angle ECD$ and $\angle ACB$, which are vertical angles, 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.