Question

in the figure, m∠aed = 34° and m∠ead = 112°. identify the angles congruent to ∠ead. ∠adb ∠ade ∠bcd ∠bdc ∠cbd ∠dab ∠dae ∠dba

Explanation:

Step1: Recall congruent - angle definition

Congruent angles have equal measures.

Step2: Analyze the figure

Without seeing the full - figure context and parallel - line or other geometric relationship information, assume we are looking for angles with the same measure as $\angle EAD = 112^{\circ}$.
If this is a parallelogram - like figure (since no other information is given, and in parallelograms opposite angles are congruent), the angle opposite to $\angle EAD$ would be congruent to it.

Answer:

If the figure has properties of a parallelogram (opposite angles are congruent), the angle congruent to $\angle EAD$ is $\angle BCD$. So the answer is $\angle BCD$.