in $\triangle xyz$, $mangle x = 90^{circ}$ and $mangle y = 30^{circ}$. in $\triangle tuv$, $mangle u =…

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?\n$\triangle xyzcong\triangle tuv$\n$\triangle xyzcong\triangle vut$\nno congruency statement can be made because only two angles in each triangle are known.\nno congruency statement can be made because the side lengths are unknown.

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?\n$\triangle xyzcong\triangle tuv$\n$\triangle xyzcong\triangle vut$\nno congruency statement can be made because only two angles in each triangle are known.\nno congruency statement can be made because the side lengths are unknown.

Answer

Explanation:

Step1: Recall congruence criteria

To prove two triangles congruent, we need side - side - side (SSS), side - angle - side (SAS), angle - side - angle (ASA), angle - angle - side (AAS) or hypotenuse - leg (HL) for right - angled triangles.

Step2: Analyze given information

We are only given two angles in each triangle ($\triangle XYZ$ has $\angle X = 90^{\circ},\angle Y=30^{\circ}$ and $\triangle TUV$ has $\angle U = 30^{\circ},\angle V = 60^{\circ}$). There is no information about the side lengths.

Answer:

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