In Δ HOW and Δ NEW
HW = NW ( given )
OW = EW ( since W intersects OW and EW )
∠ HWO = ∠ NWO ( Vertically opposite angles )
Hence congruent by SAS congruence theorem
Another way:
∠OHW = ∠ENW ( Alternate interior angles )
∠HOW = ∠NEW ( Alternate interior angles )
HW = NW ( given )
Hence congruent by AAS congruence theorem