Question

In Triangle XYZ, m triangles?

O XYZ = TUV
O XYZ = VUT
O No congruency statement can be made because only two angles in each triangle are known.
O No congruency statement can be made because the side lengths are unknown.

Answer 1

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

Explanation:

We are given the measure of two angles in ∆XYZ, as 90 and 30 respectively. The 3rd angle can be known without being given. Since sum of angles in a triangle is 180°, the 3rd angle would be 180 - (90+30) = 60°.

Same applies to ∆TUV.

We only know the 3 angles of each triangle, but we are not given any of the side lengths. Therefore, we cannot make any congruency statement since the side lengths are unknown.