Question

which angles are congruent to each other? ∠dea and ∠ced ∠dea and ∠bec ∠aeb and ∠dea ∠ced and ∠bec

Explanation:

Step1: Recall vertical - angle property

Vertical angles are congruent. When two lines intersect, the pairs of opposite angles formed are vertical angles.

Step2: Identify vertical - angle pairs

In the given figure where lines $AB$ and $CD$ intersect at point $E$, $\angle DEA$ and $\angle BEC$ are vertical angles, and $\angle AEB$ and $\angle DEC$ are vertical angles.

Answer:

$\angle DEA$ and $\angle BEC$