Question

which angles are alternate interior angles? ∠cdg and ∠hgd ∠cdg and ∠fgd ∠cdg and ∠hgi ∠cdg and ∠cdb

Explanation:

Step1: Recall alternate interior angles definition

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

Step2: Analyze each pair

• For \(\angle CDG\) and \(\angle HGD\): They are not between the relevant two lines in the correct way for alternate - interior.
• For \(\angle CDG\) and \(\angle FGD\): The transversal \(BI\) crosses lines \(CE\) and \(FH\). \(\angle CDG\) and \(\angle FGD\) lie between \(CE\) and \(FH\) and on opposite sides of \(BI\).
• For \(\angle CDG\) and \(\angle HGI\): They do not meet the alternate - interior angles criteria.
• For \(\angle CDG\) and \(\angle CDB\): They are adjacent angles, not alternate - interior.

Answer:

\(\angle CDG\) and \(\angle FGD\)