Respuesta :

Answer:

The Proof with Statement and Reasons are below.

Step-by-step explanation:

Given:

In the Figure we have

∠ 1 ≅ ∠ 5

∠ 5 ≅ ∠ 7

To Prove:

∠ 1 ≅ ∠ 7

Proof:

Statements                                           Reasons

1. a || b               1. Given:

2. ∠ 1 ≅ ∠ 5         2. Corresponding angles formed by parallel lines are congruent.

3. ∠ 5 ≅ ∠ 7        3. Vertical angles are congruent.

4. ∠ 1 ≅ ∠ 7         4. Transitive property ......Proved

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