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: 36

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=$6^{\circ}$
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