Question

which angles are consecutive interior angles? image of lines and angles with options: ∠ijg and ∠fgj, ∠ijg and ∠ijl, ∠fgj and ∠kjl, ∠fgj and ∠kjg

Explanation:

Step1: Recall consecutive interior angles definition

Consecutive interior angles are on the same side of a transversal, between two lines.

Step2: Identify lines and transversal

Lines: IJ/KJ and FG/HG; Transversal: LE.

Step3: Check each option

• ∠IJG & ∠FGJ: Adjacent, not between lines.
• ∠IJG & ∠IJL: Same vertex, not transversal-related.
• ∠FGJ & ∠KJL: Alternate, not same side.
• ∠FGJ & ∠KJG: Same side of transversal LE, between the two lines.

Answer:

∠FGJ and ∠KJG