Question

which angles are consecutive interior angles? ∠ihe and ∠deh ∠ihj and ∠ghj ∠ghj and ∠fec ∠feh and ∠ihe

Explanation:

Step1: Recall definition of consecutive - interior angles

Consecutive - interior angles are two angles that lie between two lines and on the same side of a transversal.

Step2: Analyze each option

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

• In the case of \(\angle FEH\) and \(\angle IHE\), \(\angle FEH\) and \(\angle IHE\) lie between the lines \(DF\) and \(GI\) and on the same - side of the transversal \(CJ\).
• For \(\angle IHE\) and \(\angle DEH\), \(\angle DEH\) is not between the two lines \(DF\) and \(GI\).
• For \(\angle IHJ\) and \(\angle GHJ\), these angles are not between two distinct parallel - like lines with respect to a transversal in the context of consecutive - interior angles.
• For \(\angle GHJ\) and \(\angle FEC\), \(\angle FEC\) is not between the lines \(DF\) and \(GI\) and they are not in the correct position for consecutive - interior angles.

Answer:

\(\angle FEH\) and \(\angle IHE\)