Question

which angles are alternate interior angles? ∠ghe and ∠feh ∠fec and ∠dec ∠deh and ∠dec ∠feh and ∠dec

Explanation:

Step1: Recall alternate - interior angles definition

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

Step2: Analyze each option

For the lines \(DF\) and \(GI\) intersected by transversal \(CJ\):

• \(\angle GHE\) and \(\angle FEH\) are alternate - interior angles as they are between the lines \(DF\) and \(GI\) and on opposite sides of the transversal \(CJ\).
• \(\angle FEC\) and \(\angle DEC\) are adjacent angles, not alternate - interior angles.
• \(\angle DEH\) and \(\angle DEC\) are adjacent angles, not alternate - interior angles.
• \(\angle FEH\) and \(\angle DEC\) are not alternate - interior angles.

Answer:

\(\angle GHE\) and \(\angle FEH\)