To prove triangles CDE and CDQ congruent by the Angle-Side-Angle (ASA) postulate, you need to provide information about one additional angle.
Since you already have two pairs of congruent angles (the congruent angles given) and a common adjacent side (CD), you need to know either:
- That angle CDE is congruent to angle CDQ, or
- That angle DCE is congruent to angle DQ.
Once you have the additional angle information that is congruent, you can then apply the ASA postulate to prove the congruence of triangles CDE and CDQ.