Final answer:
To prove that triangle Xwy is parallel to triangle DEC, we need to know the measures of the angles in triangle DEC.
Step-by-step explanation:
To prove that triangle Xwy is parallel to triangle DEC, the additional information needed is d) The measures of the angles in triangle DEC.
To determine if two triangles are parallel, you need to compare their corresponding angles. If the corresponding angles are equal, then the triangles are parallel.
Therefore, we need to know the measures of the angles in triangle DEC in order to determine if it is parallel to triangle Xwy.