Question

What is the missing step in the proof?
Given: AB←→ || CD←→ , and ∠EIJ≅∠GJI (figure).

Prove: ∠IKL and ∠IJL are supplementary.

Statement Reason
1. ∠EIJ≅∠GJI given
2. ∠EIJ≅∠IKL For parallel lines cut by a transversal, corresponding angles are congruent.
3. ∠IKL≅∠GJI Transitive Property of Equality
4.
5. ∠IKL and ∠IJL are supplementary. Transitive Property of Equality

Answer 1

Statement: ∠IKL≅∠JLK
Reason: For parallel lines cut by a transversal, corresponding angles are congruent.

Statement: ∠IKL and ∠IKC are supplementary.
Reason: Linear Pair Theorem

Statement: ∠GJI≅∠JLK
Reason: For parallel lines cut by a transversal, corresponding angles are congruent.

Statement: ∠GJI and ∠IJL are supplementary.
Reason: Linear Pair Theorem

Answer 2

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