Question

step statement reason
1 ( a b c d ) is a parallelogram ( angle a cong angle e ) given
2 ( overline{b a} | overline{c d} ) opposite sides of a parallelogram are parallel
3 ( angle a cong angle c d e ) parallel lines cut by a transversal form congruent corresponding angles
4 type of statement
5 ( overline{c d} cong overline{c e} ) in a triangle, sides opposite of congruent angles are congruent

Explanation:

Step1: Substitute angles

Since \(\angle A\cong\angle E\) (given) and \(\angle A\cong\angle CDE\) (from step 3), we can substitute.
\(\angle E\cong\angle CDE\)

Answer:

\(\angle E\cong\angle CDE\)