Question

in $\triangle xyz$, $mangle x = 90^{circ}$ and $mangle y = 30^{circ}$. in $\triangle tuv$, $mangle u = 30^{circ}$ and $mangle v = 60^{circ}$. which is true about the two triangles? $\triangle xyzcong\triangle tuv$ $\triangle xyzcong\triangle vut$ no congruency statement can be made because only two angles in each triangle are known. no congruency statement can be made because the side lengths are unknown.

Explanation:

To prove two triangles congruent, we need information about side - lengths (e.g., SSS, SAS) or a combination of side - lengths and angles (e.g., ASA, AAS). Here, only angle measures are given for both $\triangle XYZ$ and $\triangle TUV$. Without any information about the side - lengths, we cannot establish congruency.

Answer:

No congruency statement can be made because the side lengths are unknown.