Given the congruence statement \( \triangle BGH \cong \triangle PCF \), we can deduce that the corresponding angles and sides of the two triangles are equal.
The corresponding angles are:
- \( \angle B \) corresponds to \( \angle P \)
- \( \angle G \) corresponds to \( \angle C \)
- \( \angle H \) corresponds to \( \angle F \)
From the congruence statement, we can conclude:
- \( \angle B \cong \angle P \)
- \( \angle G \cong \angle C \)
- \( \angle H \cong \angle F \)
Based on the options given, the correct statements that follow from \( \triangle BGH \cong \triangle PCF \) are:
- \( \angle B \cong \angle P \)
- \( \angle G \cong \angle C \)
- \( \angle H \cong \angle F \)
Thus, none of the original options (if we restrict to them) directly match the congruence of angles stated, as the one provided involves \( \angle H \cong \angle P \), which is incorrect based on the mapping established by the congruence of the triangles.
As the question format lists various options, but does not clarify how they present as valid responses, ensure comprehension of the angles and make your choice effectively based on the matches mentioned.
To conclude, the accurate response from the situation would be:
- \( \angle H \cong \angle F \)
- \( \angle B \cong \angle P \)
- \( \angle G \cong \angle C \)
Each connection is established via the congruence of triangles rather than a single option chosen from the original query.