Question

which angles are corresponding angles?
∠hgd and ∠edg ∠hgd and ∠fgi
∠hgd and ∠edb ∠hgd and ∠fgd

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are pairs of angles that are in the same relative position at each intersection where a straight line crosses two others.

Step2: Analyze each option

• For $\angle HGD$ and $\angle EDG$: These are alternate - interior angles (not corresponding).
• For $\angle HGD$ and $\angle FGI$: These are vertical angles (not corresponding).
• For $\angle HGD$ and $\angle EDB$:
• The line \(IB\) is the transversal.
• \(\angle HGD\) and \(\angle EDB\) are in the same relative position (above the two parallel lines \(FH\) and \(CE\) and on the same side of the transversal \(IB\)).
• For $\angle HGD$ and $\angle FGD$: These are adjacent angles (not corresponding).

Answer:

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