In δxyz, m∠x = 90° and m∠y = 30°. in δtuv, m∠u = 30° and m∠v = 60°. which is true about the two triangles? a. δxyz ≅ δvut b. no congruency statement can be made because only two angles in each triangle are 0known. c. no congruency statement can be made because the side lengths are unknown.

In ∆XYZ, angle X is 90°, angle Y is 30°, so that means that angle Z is 60° (because a triangle's interior angles sum up to 180°).

In ∆TUV, angle U is 30°, angle V is 60°, so angle T is 90° for the same reason.

Angle X corresponds to angle T, angle Y corresponds to angle U, and angle Z corresponds to angle V.

We can tell that both triangles are "similar" by the AA similarity postulate.

However, we cannot actually prove that both triangles are congruent because we are not given any other information about their side lengths. As a result, we cannot prove the triangles are both congruent by any of the congruence postulate (SAS, AAS, SSS, ASA, and HL).

The solution here will most likely be C. No congruence statement can be made because the side lengths are unknown.

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