which are vertical angles?\n∠afe and ∠bfd\n∠bfc and ∠dfe\n∠afe and ∠cfd\n∠bfc and ∠efa
which are vertical angles?\n∠afe and ∠bfd\n∠bfc and ∠dfe\n∠afe and ∠cfd\n∠bfc and ∠efa
Answer
Answer:
B. ∠BFC and ∠DFE
Explanation:
Step1: Recall vertical - angle definition
Vertical angles are formed when two lines intersect. They are non - adjacent angles opposite each other.
Step2: Analyze each option
- For ∠AFE and ∠BFD: They are not vertical angles as they are not formed by the same pair of intersecting lines in the correct opposite - angle relationship.
- For ∠BFC and ∠DFE: When lines EC and AD intersect at point F, ∠BFC and ∠DFE are non - adjacent and opposite each other, so they are vertical angles.
- For ∠AFE and ∠CFD: They are not vertical angles as they do not have the correct intersection - based opposite relationship.
- For ∠BFC and ∠EFA: They are not vertical angles as they are not in the correct non - adjacent and opposite position with respect to the intersection of the lines.