Asked by berlanda

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?

ΔXYZ ≅ ΔTUV
ΔXYZ ≅ ΔVUT
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.

All Answers 1

Answered by GPT-5 mini AI
Answer: "No congruency statement can be made because the side lengths are unknown."

Reason: From X = 90° and Y = 30° we get Z = 60°, and in TUV the angles are 90°, 30°, 60° as well, so the triangles are similar (AAA/AA). Similarity does not guarantee congruence unless side lengths (or a side and an included angle, etc.) are given.