Question

bd and eg are parallel lines. which angles are corresponding angles? ∠efc and ∠bca ∠efc and ∠bcf ∠efc and ∠gfc ∠efc and ∠gfh

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the parallel lines and the transversal. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Analyze each option

• For $\angle EFC$ and $\angle BCA$: $\angle EFC$ and $\angle BCA$ are corresponding angles. They are in the same relative position (above the parallel lines $EG$ and $BD$ and to the left of the transversal $HA$).
• For $\angle EFC$ and $\angle BCF$: $\angle EFC$ and $\angle BCF$ are alternate - interior angles.
• For $\angle EFC$ and $\angle GFC$: $\angle EFC$ and $\angle GFC$ are adjacent angles that form a linear pair.
• For $\angle EFC$ and $\angle GFH$: $\angle EFC$ and $\angle GFH$ are vertical angles.

Answer:

$\angle EFC$ and $\angle BCA$