Answer:
Step-by-step explanation:
Given the following statements
1. line RS || segment AB, ∠1=∠2 
2. ∠B = ∠1 
3. ∠A = ∠2 
4. ∠A = ∠B 
5. RA = RB 
and the following reasons, 
a) If lines ||, corresponding ∠'s are = 
b) If two ∠'s of a triangle are =, sides opposite are = 
b) If lines ||, alternate interior ∠'s = 
c) Given 
d) Substitution
we match the statements and the reasons to enable us prove the required proof.
 Statement Reason
1. line RS || segment AB, ∠1=∠2 Given
2. ∠B = ∠1 If lines ||, corresponding ∠'s are = 
3. ∠A = ∠2 If lines ||, alternate interior ∠'s = 
4. ∠A = ∠B Substitution [because we are given that 
∠1=∠2]
5. RA = RB If two ∠'s of a triangle are =, sides opposite are =