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=$6^{\circ}$