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which of the following correctly justifies statement 4 of the two-column proof?
given: line jk is parallel to line lm
prove: ∠2 ≅ ∠7
statement justification
1. line jk is parallel to line lm 1. given
2. ∠6 ≅ ∠7 2.
3. ∠2 ≅ ∠6 3.
4. ∠2 ≅ ∠7 4.

a) statement justification .:

1. given

2. ∠6 ≅ ∠7

--> vertical angles theorem

3. ∠3 ≅ ∠7

--> corresponding angles theorem

4. ∠3 ≅ ∠6

--> transitive property of equality

b) ∠2 ≅ ∠7

as we know from point 3 (corresponding angles theorem)

that ∠3 ≅ ∠7

we also know that ∠3 ≅ ∠2 (from vertical angles theorem)

=> ∠2 ≅ ∠7 (using transitive property of equality)

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