Question

ef and ne are parallel lines. which angles are alternate exterior angles? ∠edg and ∠fgi ∠cdg and ∠hgd ∠cdg and ∠fgd ∠cdb and ∠hgi

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are formed when a transversal intersects two parallel lines. They lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For \(\angle EDG\) and \(\angle FGI\): They do not lie in the correct position for alternate exterior angles.
• For \(\angle CDG\) and \(\angle HGD\): These angles lie between the two parallel lines \(NE\) and \(FH\), so they are not exterior angles.
• For \(\angle CDG\) and \(\angle FGD\): They do not meet the criteria of alternate exterior angles.
• For \(\angle CDB\) and \(\angle HGI\): Since \(NE\parallel FH\) and \(IB\) is the transversal, \(\angle CDB\) and \(\angle HGI\) lie outside the parallel lines \(NE\) and \(FH\) and on opposite sides of the transversal \(IB\).

Answer:

\(\angle CDB\) and \(\angle HGI\)