Question

select all the pairs of corresponding angles. ∠ihe and ∠fec ∠ghj and ∠deh ∠fec and ∠feh ∠ihj and ∠feh

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are formed when a transversal intersects two lines. They are in the same relative position.

Step2: Analyze each pair

• For ∠IHE and ∠FEC: They are in the same relative position with respect to the transversal and the two - line intersection, so they are corresponding angles.
• For ∠GHJ and ∠DEH: They are in the same relative position with respect to the transversal and the two - line intersection, so they are corresponding angles.
• For ∠FEC and ∠FEH: These are not corresponding angles as they do not have the correct relative position with respect to a transversal and two lines.
• For ∠IHJ and ∠FEH: They are in the same relative position with respect to the transversal and the two - line intersection, so they are corresponding angles.

Answer:

∠IHE and ∠FEC, ∠GHJ and ∠DEH, ∠IHJ and ∠FEH