Question

which angles are consecutive interior angles? ∠deh and ∠dec ∠ghe and ∠deh ∠ihj and ∠fec ∠ihj and ∠dec

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 pair of angles

• For ∠DEH and ∠DEC, they are adjacent angles, not consecutive - interior angles.
• For ∠GHE and ∠DEH, they lie between the lines GI and DF and on the same side of the transversal JC, so they are consecutive - interior angles.
• For ∠IHJ and ∠FEC, they are not in the correct position to be consecutive - interior angles.
• For ∠IHJ and ∠DEC, they are not consecutive - interior angles.

Answer:

∠GHE and ∠DEH