Question

(overleftrightarrow{eg}) and (overleftrightarrow{hj}) are parallel lines. which angles are corresponding angles? ( angle hif ) and ( angle gfd ) ( angle hif ) and ( angle efd ) ( angle hif ) and ( angle jif ) ( angle hif ) and ( angle gfi )

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are pairs of angles that lie on the same side of the transversal and in corresponding positions relative to the parallel lines.

Step2: Analyze each option

• For \(\angle HIF\) and \(\angle GFD\):

They are on the same side of the transversal \(KD\) and in corresponding positions relative to the parallel lines \(HJ\) and \(EG\).

• For \(\angle HIF\) and \(\angle EFD\): They are not in corresponding positions.
• For \(\angle HIF\) and \(\angle JIF\): These are adjacent angles, not corresponding angles.
• For \(\angle HIF\) and \(\angle GFI\): They are not in corresponding positions.

Answer:

\(\angle HIF\) and \(\angle GFD\)