D) <span>Statement: ∠GJI and ∠IJL are supplementary; Reason: Linear Pair Theorem
Explanation:
Step 3 states "</span><span>∠IKL≅∠GJI Transitive Property of Equality". Step 5 states "</span><span>∠IKL and ∠IJL are supplementary. Transitive Property of Equality".
The inferred piece of information here is that </span>∠GJI and ∠IJL are supplementary. Since we do not have anything relating ∠IKL and ∠IJL, we must have something relating the two; relating ∠GJI and ∠IJL will work, since we know that ∠IKL≅∠GJI.