The triangles are not congruent.
The given information about triangle BWH and triangle HWP is insufficient to conclude that the triangles are congruent.
While we know that one angle and two sides are equal, congruence between triangles requires more information.
Two triangles are congruent if their corresponding sides and angles are equal.
This is known as the Side-Angle-Side (SAS) congruence criterion. However, the provided information only satisfies the Angle-Side-Angle (ASA) criterion, which is not enough to establish congruence.
In the case of the triangles not being congruent, it's essential to recognize that even though an angle and two sides are equal, the remaining angles and side may differ, leading to non-congruent triangles.
Without additional information about the third side or another angle, we cannot determine if the triangles are congruent.
Based on the given details, the relationship between triangle BWH and triangle HWP regarding congruence cannot be determined.
Further information about the third side or angle is needed to make a conclusive statement about the congruence of the triangles.