Please help, using and i can’t figure out this question. Given : A STU with overline ST || XY Prove: (SX)/(XU) = (TY)/(YU)

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;

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

t= half of the arc subtended by t.

r= half of the arc subtended by r.  

t+r= half of the arc subtended by t + half of the arc subtended by r= half of 360=180

step-by-step explanation: