Question

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Answer 1

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 =