Question

which angles are corresponding angles? ∠ijl and ∠fge ∠ij g and ∠kjl ∠hgj and ∠kjl ∠hge and ∠fgj

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others.

Step2: Analyze each option

• For ∠IJL and ∠FGE: They are not in corresponding positions.
• For ∠IJ G and ∠KJL: They are vertical angles, not corresponding angles.
• For ∠HGJ and ∠KJL: ∠HGJ and ∠KJL are corresponding angles. They are in the same relative position with respect to the transversal LJ and the parallel lines FH and IK.
• For ∠HGE and ∠FGJ: They are adjacent angles, not corresponding angles.

Answer:

∠HGJ and ∠KJL