Answer:
44°
Step-by-step explanation:
First, m ∠ D=112° and ∠ABC are congruent in a parallelogram and congruent angles have same measure so m ∠ ABC=112° as well
Second, ∠ABC and ∠CBE are supplementary angels so they add up to 180° because adjacent angles that form a line are suplementary, therefore, ∠CBE=180-112=68°
Third, ∠CBE≅∠BCE because the ΔCEB is isosceles since is given CE≅BE and base angles of isosceles triangles are congruent.
Congruent ∠s have same measure so m∠BCE =68° as well
Last sum of angles in a Δ is 180° so from ΔCEB we have
m ∠E = 180-68-68=44°
