Alternative tilings for Type 2 and Type 7 monotiles

Determine whether convex pentagonal monotiles in T_2 ∩ T_7 can generate tiling patterns other than the representative tilings of Types 2 and 7, and determine whether any such patterns necessarily require reflected tiles.

Background

Certain monotiles in the intersection T_2 ∩ T_7 satisfy additional angle-sum relations beyond the defining Type 7 conditions. They can generate the representative tilings of both Types 2 and 7, and both representative constructions use reflected tiles. The unresolved issue is whether these shapes admit other tiling patterns and, if so, whether reflections remain unavoidable.