B cannot be right, as again you only have one side, and need 2
C could be right, but the order is not correct. The side we know is not between the two angles, making this theory incorrect
D is correct, as we have 2 angles next to each other, and a side that is congruent
D. AAS Theorem
Given: ∠D ≅∠T, ∠E ≅ ∠U, EO ≅ UX
Then in Δ DOE and Δ TXU
∠D ≅∠T, [Angle]
∠E ≅ ∠U, [Angle]
EO ≅ UX [Side]
From the figure we can see they are two pair of corresponding congruent angles and one non included sides.
Thus by AAS theorem
Δ DOE ≅ Δ TXUAAS theorem tells that if two angles and any side of one triangle are congruent to two angles and any side of another triangle, then the triangles are congruent.
this is the answer for you hope it
given: ∠d ≅∠t, ∠e ≅ ∠u, eo ≅ ux
name the postulate or...