Answer: < DCQ ≅ <DCE.
Step-by-step explanation: We are given a composite figure of two triangles CDE and CDQ.
In the shown composite figure we can see:
<CDQ ≅ < CDE : Given
CD are common sides of both triangles
Therefore, by reflexive property
CD = CD
We need to apply ASA congruence criteria.
That is Angle Side Angle congruence criteria.
We already got One angle is congruent and one side on both triangles.
We just need one-one more angles in both triangles those would be congruent.
Therefore,
We could choose < DCQ ≅ <DCE.