Question

ce and fh are parallel lines.
which angles are corresponding angles?
∠edb and ∠fgi
∠edb and ∠cdb
∠edb and ∠hgd
∠edb and ∠cdg

Explanation:

To determine corresponding angles, we use the definition: when two parallel lines are cut by a transversal, corresponding angles are in the same relative position at each intersection. Here, \( CE \parallel FH \) and transversal \( BI \) cuts them.

• \( \angle EDB \) is at the intersection of \( CE \) and \( BI \), above \( CE \) and to the right of \( BI \).
• \( \angle HGD \) is at the intersection of \( FH \) and \( BI \), above \( FH \) and to the right of \( BI \). They are in the same relative position, so they are corresponding angles.

Checking other options:

• \( \angle EDB \) and \( \angle FGI \): \( \angle FGI \) is below \( FH \) and to the left of \( BI \), not same position.
• \( \angle EDB \) and \( \angle CDB \): These are supplementary (linear pair), not corresponding.
• \( \angle EDB \) and \( \angle CDG \): \( \angle CDG \) is vertical or alternate, not corresponding.

Answer:

\(\angle EDB\) and \(\angle HGD\)