Question

which angles are consecutive interior angles? ∠cdb and ∠fgi ∠cdg and ∠hgi ∠fgi and ∠edb ∠hgd and ∠edg

Explanation:

Step1: Recall definition of consecutive - interior angles

Consecutive - interior angles are two angles that lie between two lines and on the same side of a transversal.

Step2: Analyze each option

• For $\angle CDB$ and $\angle FGI$, they are not between the same two lines with respect to a transversal.
• For $\angle CDG$ and $\angle HGI$, they are not between the same two lines with respect to a transversal.
• For $\angle FGI$ and $\angle EDB$, they are not between the same two lines with respect to a transversal.
• For $\angle HGD$ and $\angle EDG$, they lie between lines $FH$ and $CE$ and on the same side of transversal $IB$.

Answer:

$\angle HGD$ and $\angle EDG$