Question

bd and eg are parallel lines. which angles are vertical angles? ∠efc and ∠dcf ∠efc and ∠bca ∠efc and ∠bcf ∠efc and ∠gfh

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are a pair of non - adjacent angles formed by the intersection of two lines.

Step2: Analyze each option

• For \(\angle EFC\) and \(\angle DCF\): These are not formed by the intersection of the same two lines in the required non - adjacent way for vertical angles.
• For \(\angle EFC\) and \(\angle BCA\): These are not formed by the intersection of the same two lines in the required non - adjacent way for vertical angles.
• For \(\angle EFC\) and \(\angle BCF\): These are not formed by the intersection of the same two lines in the required non - adjacent way for vertical angles.
• For \(\angle EFC\) and \(\angle GFH\): Lines \(AH\) and \(EG\) intersect at point \(F\). \(\angle EFC\) and \(\angle GFH\) are non - adjacent angles formed by the intersection of these two lines.

Answer:

\(\angle EFC\) and \(\angle GFH\)