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Answer :

Answer:

AAS Congruence Theorem

Explanation:

Taking into account the figure, we get:

∠X is congruent to ∠Y

∠YWZ is congruent to ∠XWZ

WZ is congruent with itself

So, we have 2 congruent angles and one equal side.

Therefore, the theorem that can prove that these triangles are congruent is AAS (Angle - Angle - Side) congruence theorem because we have 2 congruent angles (∠X = ∠Y, ∠YWZ = ∠XWZ) and one congruent side (WZ = WZ).