## Geometry: Common Core (15th Edition)

$\triangle ABC ≅ \triangle EBD$ AAS postulate
One side on each triangle is marked congruent. Vertical angles are congruent, so one angle is also congruent. $\angle C ≅ \angle D$, so we have two consecutive angles and one side congruent. Therefore, we have $\triangle ABC ≅ \triangle EBD$ by the AAS postulate.