Question

Given: Line JK is parallel to line LM. Prove: ∠1 ≅ ∠8. Justify each step in the proof.

Answer 1

To prove that ∠1 is congruent to ∠8, we can use the properties of parallel lines and alternate interior angles.

Step-by-step explanation:

To prove that ∠1 is congruent to ∠8, we can use the properties of parallel lines and alternate interior angles.

1. Given that line JK is parallel to line LM, we know that corresponding angles are congruent. This means that ∠1 is congruent to ∠3.
2. We also know that line JK is parallel to line LM, so corresponding angles are congruent. This means that ∠3 is congruent to ∠8.
3. Therefore, by the transitive property of congruence, we can conclude that ∠1 is congruent to ∠8.