Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - 1-5 Exploring Angle Pairs - Practice and Problem-Solving Exercises - Page 39: 27


$x=5$ $m\angle ABC=50$

Work Step by Step

Use the definition of a bisector: $m\angle ABD=m\angle DBC$ $5x=3x+10$ Subtract 3x from each side. $5x-3x=3x+10-3x$ $2x=10$ Divide each side by 2. $2x\div2=10\div2$ $x=5$ Angle Addition Postulate: $m\angle ABC=5x+3x+10=8x+10=8(5)+10=40+10=50$
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.