Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 4 - Section 4.4 - The Trapezoid - Exercises - Page 202: 43

Answer

150 and 144

Work Step by Step

Since it is a trapezoid, corresponding angles are supplementary. Since we do not know which angles are corresponding, we must consider B being corresponding with each of the given angles: $\frac{x}{2} + 10 + \frac{x}{3} + 50 = 180 \\ \frac{5x}{6} = 120 \\ x = 144$ OR $\frac{x}{3} + 50 + \frac{x}{5} + 50 = 180 \\ \frac{8x}{15} = 80 \\ x = 150$
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.