Question

Prove: ∠2 ≅ ∠7

statement justification
line jk is parallel to line lm 1. given
A)∠6 ≅ ∠7 2.
B)∠2 ≅ ∠6 3.
C)∠2 ≅ ∠7 4.

Answer 1

To prove the congruence of ∠2 and ∠7, we can use the fact that line JK is parallel to line LM and the corresponding angles formed by the transversal line JK are congruent.

Step-by-step explanation:

To prove that ∠2 is congruent to ∠7, we need to use the fact that line JK is parallel to line LM. The corresponding angles formed by the transversal line JK are congruent. We can use the following statements and justifications:

1. Given: ∠6 ≅ ∠7 (Statement A)
2. Given: ∠2 ≅ ∠6 (Statement B)
3. Prove: ∠2 ≅ ∠7
4. Explanation: We can use statement A and statement B to establish the congruence of ∠2 and ∠7. Since ∠6 ≅ ∠7 and ∠2 ≅ ∠6, we can conclude that ∠2 ≅ ∠7.