Question

which angles are vertical to each other? select all that apply.

Explanation:

Vertical angles are formed when two lines intersect, and they are opposite each other, sharing a common vertex but no common side. Let's analyze each pair:

• $\angle BFD$ and $\angle EFA$: These are opposite angles formed by the intersection of lines, so they are vertical angles.
• $\angle AFC$ and $\angle DFE$: These are opposite angles formed by the intersection of lines, so they are vertical angles.
• $\angle CFD$ and $\angle DFE$: These share a common side ($\angle DFE$ shares side $FE$ with $\angle CFD$? No, actually, $\angle CFD$ and $\angle AFE$? Wait, no, re - examining, $\angle CFD$ and $\angle AFE$? Wait, no, the correct vertical angles: when two lines intersect, like line $CD$ and line $AE$? Wait, no, the lines here: let's see the vertex $F$. The lines are $CD$, $AE$, $BF$, etc. Wait, the correct vertical angles are pairs that are opposite. $\angle BFD$ and $\angle EFA$: yes, because they are opposite. $\angle AFC$ and $\angle DFE$: yes, because they are opposite. The other pairs: $\angle CFD$ and $\angle DFE$ share a common side, so not vertical. $\angle AFC$ and $\angle CFD$ share a common side, so not vertical. So the correct pairs are $\angle BFD$ and $\angle EFA$, $\angle AFC$ and $\angle DFE$.

Answer:

A. $\angle BFD$ and $\angle EFA$
B. $\angle AFC$ and $\angle DFE$