Answer:
The correct answer is;
ΔUXY ≅ Δ UST
Step-by-step explanation:
The given steps are;
1. ΔSTU with
, 1. Given
2. ∠1 and ∠2 are corresponding angles, 2. Def of corresponding angles
3. ∠3 and ∠4 are corresponding angles, 3. Def of corresponding angles
4. ∠1 ≅ ∠2; ∠3 ≅ ∠4, 4. Corresponding angles theorem
5. ΔUXY ≅ΔUST, 5, AA similarity theorem
6.
, 6. Def of similar triangles
7. SU = SX + XU, 7. Segment addition postulate
TU = TY + YU,
8.
, 8. Substitution property
9.
, 8. Algebra simplification
By subtracting 1 from both sides of the equation, we get;