In Triangle XYZ, m triangles? O XYZ = TUV O XYZ = VUT O No congruency statement can be made because only two angles

Question

Dimas [21]

2 years ago

14

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.

Mathematics

1 answer:

ahrayia [7] · Answer 1 · 2022-07-24T13:23:52+03:00

Answer:

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

Step-by-step 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.