QUESTION IMAGE
Question
bd and eg are parallel lines. which angles are alternate interior angles? ∠gfc and ∠efh ∠gfc and ∠bcf ∠gfc and ∠dca ∠gfc and ∠bca
Step1: Recall definition of alternate - interior angles
Alternate - interior angles are formed when a transversal intersects two parallel lines. They are non - adjacent angles between the two parallel lines and on opposite sides of the transversal.
Step2: Analyze the given angles and parallel lines
Lines $\overleftrightarrow{BD}$ and $\overleftrightarrow{EG}$ are parallel. The transversal is $\overleftrightarrow{HA}$. $\angle GFC$ and $\angle BCA$ are non - adjacent, between the parallel lines $\overleftrightarrow{BD}$ and $\overleftrightarrow{EG}$, and on opposite sides of the transversal $\overleftrightarrow{HA}$.
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$\angle GFC$ and $\angle BCA$