Question

which angles are consecutive interior angles? ∠ijg and ∠fgj ∠ijg and ∠ijl ∠ijg and ∠kjl ∠ijg and ∠hgj

Explanation:

Consecutive - interior angles are two angles that lie between two lines and on the same side of a transversal. In the given diagram, lines $IK$ and $FH$ are intersected by transversal $LE$. $\angle IJG$ and $\angle FGJ$ are between lines $IK$ and $FH$ and on the same - side of the transversal $LE$.

Answer:

$\angle IJG$ and $\angle FGJ$