Elementary Geometry for College Students (6th Edition)

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

Chapter 2 - Section 2.4 - The Angles of a Triangle - Exercises - Page 93: 17



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}$
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