Elementary Geometry for College Students (7th Edition) Clone

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

Chapter 4 - Section 4.4 - The Trapezoid - Exercises - Page 213: 38

Answer

m$\angle$FCE=$6^{\circ}$

Work Step by Step

m$\angle$C=180-m$\angle$B m$\angle$C=180-56 m$\angle$C=124$^{\circ}$ m$\angle$FCB=.5m$\angle$C m$\angle$FCB=.5(124) m$\angle$FCB=62$^{\circ}$ Opposite angles of a parallelogram are congruent. m$\angle$DCE=m$\angle$A m$\angle$DCE=56$^{\circ}$ m$\angle$FCE=m$\angle$C-m$\angle$DCE-m$\angle$FCB m$\angle$FCE=124-62-56 m$\angle$FCE=$6^{\circ}$
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.