Question

ce and fh are parallel lines. which angles are alternate interior angles? ∠fgd and ∠edg ∠edb and ∠fgd ∠fgi and ∠hgi ∠hgi and ∠edg

Explanation:

Step1: Recall the definition of alternate interior angles

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

Step2: Analyze each option

• For \(\angle FGD\) and \(\angle EDG\):

Since \(CE\parallel FH\) and \(BG\) is the transversal. \(\angle FGD\) and \(\angle EDG\) lie between \(CE\) and \(FH\) and on opposite sides of the transversal \(BG\).

• For \(\angle EDB\) and \(\angle FGD\): \(\angle EDB\) is not between the two parallel lines \(CE\) and \(FH\).
• For \(\angle FGI\) and \(\angle HGI\): These angles are adjacent, not alternate interior angles.
• For \(\angle HGI\) and \(\angle EDG\): \(\angle HGI\) is not between the two parallel lines \(CE\) and \(FH\) in the correct sense for alternate - interior angles with respect to the transversal.

Answer:

\(\angle FGD\) and \(\angle EDG\)