Question

In the diagram, which angle is part of a linear pair and part of a vertical pair?

Answer 1

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 $180$º, so you have $2$ angles whose measures add to $180$ 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=$180$°

angles ∠EFA and ∠EFD are a linear pair

2) m∠BFD+m∠EFD=$180$°

angles ∠BFD and ∠EFD are a linear pair

3) m∠BFD+m∠BFA=$180$°

angles ∠BFD and ∠BFA are a linear pair

4) m∠BFA+m∠AFD=$180$°

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

Answer 2

The answer is D. <EFA, I took the same quiz.