Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 2 - Section 2.1 - The Parallel Postulate and Special Angles - Exercises - Page 89: 39

Answer

X=72 Y=116

Work Step by Step

We see that: $$ x+y-8 =180$$ And: $$ x=.5y+14$$ Thus, plugging the second expression into the first expression: $$ .5y+14+y-8 = 180 \\ 1.5y=174 \\ y=116$$ Thus, it follows: $$ x=(.5)(116) +14 \\ x = 72$$
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.