Question

bd and eg are parallel lines. which angles are alternate exterior angles? ∠dcf and ∠dca ∠bca and ∠gfh ∠gfc and ∠dcf ∠gfh and ∠bcf

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For \(\angle DCF\) and \(\angle DCA\): These angles are adjacent, so they are not alternate exterior angles.
• For \(\angle BCA\) and \(\angle GFH\): \(\angle BCA\) is outside the parallel lines \(BD\) and \(EG\) and \(\angle GFH\) is also outside. They are on opposite sides of the transversal \(AH\).
• For \(\angle GFC\) and \(\angle DCF\): These angles are adjacent, so they are not alternate exterior angles.
• For \(\angle GFH\) and \(\angle BCF\): \(\angle BCF\) is not an exterior angle with respect to the parallel lines \(BD\) and \(EG\).

Answer:

\(\angle BCA\) and \(\angle GFH\)