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which angle is a vertical angle with ∠efd? ∠dfb ∠ced ∠bfc ∠afb

Question

which angle is a vertical angle with ∠efd?
∠dfb
∠ced
∠bfc
∠afb

Explanation:

Step1: Recall vertical angle definition

Vertical angles are opposite angles formed by two intersecting lines.

Step2: Analyze each option

  • \( \angle DFB \): Not opposite \( \angle EFD \).
  • \( \angle CED \): Not formed by intersecting lines with \( \angle EFD \).
  • \( \angle BFC \): Opposite \( \angle EFD \) (formed by intersecting lines \( EB \) and \( DC \)).
  • \( \angle AFB \): Not opposite \( \angle EFD \).

Answer:

C. \( \angle BFC \)