Question

in the figure, (mangle aed = 34^{circ}) and (mangle ead = 112^{circ}). 17 identify the angles congruent to (angle aed). (angle adb) (angle bcd) (angle ade) (angle bdc)

Explanation:

Step1: Recall angle - congruence properties

In the given figure, we look for angles with the same measure as $\angle AED$.

Step2: Analyze angle relationships

If we assume the figure has parallel - like or congruent - triangle relationships (not given explicitly but from the context of angle - congruence problems). $\angle AED$ and $\angle BDC$ are corresponding angles (assuming parallel lines or congruent triangular structures in the pattern). Also, if we consider the symmetry and angle - making patterns in the figure, $\angle AED$ and $\angle ADB$ can be congruent in some geometric set - ups (for example, if the triangles are similar or congruent).

Answer:

A. $\angle ADB$, D. $\angle BDC$