The options of the question are
A.)BFC B.)CFG C.)GFD D.)EFA
we know that
A linear pair forms a straight angle which contains [tex] 180 [/tex]º, so you have [tex] 2 [/tex] angles whose measures add to [tex] 180 [/tex] degrees, which means they are supplementary.
Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines).Vertical angles are congruent
in this problem
Part a) Linear Pair
1) m∠EFA+m∠EFD=[tex] 180 [/tex]°
angles ∠EFA and ∠EFD are a linear pair
2) m∠BFD+m∠EFD=[tex] 180 [/tex]°
angles ∠BFD and ∠EFD are a linear pair
3) m∠BFD+m∠BFA=[tex] 180 [/tex]°
angles ∠BFD and ∠BFA are a linear pair
4) m∠BFA+m∠AFD=[tex] 180 [/tex]°
angles ∠BFA and ∠AFD are a linear pair
Part b) Vertical angles
1) m∠EFA=m∠BFD
angles ∠EFA and ∠BFD are a vertical angles
2) m∠AFB=m∠EFD
angles ∠AFB and ∠EFD are a vertical angles
therefore
the answer is the option
D.) EFA
