Question

which angles are corresponding angles?
∠jil and ∠fgj
∠kjg and ∠jil
∠jig and ∠kjg
∠jil and ∠fge

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. When a transversal intersects two lines, corresponding angles are congruent if the two lines are parallel.

Step2: Analyze each option

• For ∠JIL and ∠FGJ: They are not corresponding angles.
• For ∠KJG and ∠JIL: They are not corresponding angles.
• For ∠JIG and ∠KJG: They are not corresponding angles.
• For ∠JIL and ∠FGE: ∠JIL and ∠FGE are in the same relative position with respect to the transversal and the two lines. They are corresponding angles.

Answer:

∠JIL and ∠FGE