Given a right triangle with points $E$, $F$, $D$, $B$, $C$, and $A$, which angle is a vertical angle with $\angle EFD$?

• A. $\angle BFC$
• B. $\angle DFB$
• C. $\angle CED$
• D. $\angle AFB$

Answer: (A)

Verified step by step guidance

1. Recall that vertical angles are pairs of opposite angles formed when two lines intersect. These angles are congruent (equal in measure).
2. Identify the angle given: \(\angle EFD\). This angle is formed at point \(F\) by the rays \(FE\) and \(FD\).
3. Look for another angle formed at point \(F\) by the intersection of the same two lines but on the opposite side, which would be the vertical angle to \(\angle EFD\).
4. Check the given options and find the angle that shares vertex \(F\) and is formed by rays \(FB\) and \(FC\), which are opposite rays to \(FE\) and \(FD\) respectively.
5. Conclude that the vertical angle to \(\angle EFD\) is \(\angle BFC\) because it is formed by the intersection of the same two lines at point \(F\) but on the opposite side.