Elementary Geometry for College Students (5th Edition)

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

Chapter 2 - Section 2.4 - The Angles of a Triangle - Exercises: 17

Answer

m$\angle$3=35$^{\circ}$

Work Step by Step

Line DB bisects $\angle$ADC so $\angle$1 and $\angle$2 are congruent. Angles 2 and 3 are alternate interior angles so they are also congruent. According to the transitive property, this means that angles 1 and 3 are congruent. m$\angle$1=m$\angle$3=x m$\angle$A+2x=180 110+2x=180 2x=70 x=35 m$\angle$3=35$^{\circ}$
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.