Question

without any given or any markings, by just looking at the picture, what pair of angles must be congruent?
$\angle a\cong\angle b$
$\angle d\cong\angle c$
$\angle aed\cong\angle bec$
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Explanation:

Vertical angles are formed when two lines intersect. Vertical angles are always congruent. In the given figure, \(\angle AED\) and \(\angle BEC\) are vertical angles. There is no information given to suggest that \(\angle A\cong\angle B\) or \(\angle D\cong\angle C\) (they could be congruent, but we can't be sure without markings or given information).

Answer:

\(\angle AED\cong\angle BEC\)