The quiz below will test your knowledge of all the postulates and theorems that can prove two triangles are congruent.

Theorems and Postulates for proving triangles congruent
 Hypotenuse Leg Theorem
 Side Side Side
 Side Angle Side
 Angle Side Angle
 Angle Angle Side
 isosceles triangle proofs
 CPCTC
 indirect proof
 quiz on all theorems/postulates
 Images
 Free Math Printable Worksheets
 Worksheets & Activities on Triangle Proofs
You could use Angle Angle Side because ACB and DCE are vertical angles.
The trick, of course, is that you cannot use SSA since SSA(Side Side Angle) is not a valid theorem that proves congruent tirangles.
The two triangles are congruent by SAS, the side angle side postulate. You'd need to use the addition property of equality to get one pair of the sides.