Question

ce and fh are parallel lines. which angles are alternate interior angles? ∠edg and ∠fgi ∠hgd and ∠cdg ∠edg and ∠hgd ∠edb and ∠hgi

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are formed when a transversal intersects two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle EDG$ and $\angle FGI$: $\angle FGI$ is not between the parallel lines $CE$ and $FH$.
• For $\angle HGD$ and $\angle CDG$: $\angle CDG$ is not between the parallel lines $CE$ and $FH$.
• For $\angle EDG$ and $\angle HGD$: $CE\parallel FH$, transversal $BI$. $\angle EDG$ and $\angle HGD$ lie between $CE$ and $FH$ and on opposite sides of transversal $BI$.
• For $\angle EDB$ and $\angle HGI$: $\angle EDB$ is not between the parallel lines $CE$ and $FH$.

Answer:

$\angle EDG$ and $\angle HGD$