Question

which angles are corresponding angles? ∠ijg and ∠hgj ∠ijg and ∠fge ∠ijg and ∠kjl ∠ijg and ∠hge

Explanation:

Step1: Recall the definition of corresponding angles

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

Step2: Analyze each option

• For \(\angle IJG\) and \(\angle HGJ\): These are alternate - interior angles (not corresponding).
• For \(\angle IJG\) and \(\angle FGE\): These are not in the same relative position.
• For \(\angle IJG\) and \(\angle KJL\): These are vertical angles (not corresponding).
• For \(\angle IJG\) and \(\angle HGE\): \(\angle IJG\) and \(\angle HGE\) are in the same relative position (both are on the same side of the transversal \(EL\) and in the same relative position with respect to the parallel lines \(FH\) and \(IK\)).

Answer:

\(\angle IJG\) and \(\angle HGE\)