Answer:
The Proof with Statement and Reasons are below.
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