Question

which angles are corresponding angles? ∠cdb and ∠hgd ∠cdb and ∠fgi ∠cdb and ∠cdg ∠cdb and ∠fgd

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. If the two lines crossed are parallel, corresponding angles are equal.

Step2: Analyze each option

• For $\angle CDB$ and $\angle HGD$, they are alternate interior angles.
• For $\angle CDB$ and $\angle FGI$, they are corresponding angles. $\angle CDB$ and $\angle FGI$ are in the same relative position with respect to the transversal and the two lines that the transversal intersects.
• For $\angle CDB$ and $\angle CDG$, they are adjacent angles.
• For $\angle CDB$ and $\angle FGD$, they are not corresponding, alternate, or vertical angles.

Answer:

$\angle CDB$ and $\angle FGI$