Notice that two sides are parallel. How can you use this to determine angles?
There is not enough information.
Practice makes perfect
For the SAS Congruence Theorem, we need two corresponding sides and the included angle from each triangle to be congruent. In addition to what the diagram tells us, we can by the Reflexive Property of Congruence identify a second pair of congruent corresponding sides, XZ.
Also, if we view XZ as a transversal to WZ and XY, we can identify a pair of alternate interior angles. Since WZ∥ XY, we know these angles are congruent by the Alternate Interior Angles Theorem.
Let's add this information to the diagram.
In this case, the congruent angles are not included by the congruent sides. Thus, there is insufficient information to use the SAS Congruence Theorem.
