Answer:
Statement 1. ∠ 2 and ∠ 5 are supplementary.
Reason 1. It is given.
Reason 2. They are vertically opposite angles.
Reason 3. Since ∠ 2 and ∠ 5 are supplementary and ∠ 3 = ∠ 2
Statement 4. Line l ║ Line m
Reason 4. The consecutive interior angles ∠ 3 and ∠ 5 are supplementary.
Step-by-step explanation:
Statement 1. ∠ 2 and ∠ 5 are supplementary.
Reason 1. It is given.
Statement 2. ∠ 3 = ∠ 2
Reason 2. They are vertically opposite angles.
Statement 3. ∠ 3 and ∠ 5 are supplementary.
Reason 3. Since ∠ 2 and ∠ 5 are supplementary and ∠ 3 = ∠ 2
Statement 4. Line l ║ Line m
Reason 4. The consecutive interior angles ∠ 3 and ∠ 5 are supplementary. (Answer)
