Question

what is an angle that is adjacent to \\(\angle afb\\)?

Explanation:

Identify the given angle

Using the Naming Angles knowledge point

$$ \angle AFB \text{ has vertex } F \text{ and rays } \vec{FA} \text{ and } \vec{FB}. $$

Apply adjacent angle definition

Using the Adjacent Angles knowledge point

$$ \text{An adjacent angle shares vertex } F \text{ and exactly one ray, with no common interior points.} $$

Find adjacent angles sharing ray FA

Using the Adjacent Angles knowledge point

$$ \text{Sharing ray } \vec{FA} \text{ yields adjacent } \angle AFE. $$

Find adjacent angles sharing ray FB

Using the Adjacent Angles knowledge point

$$ \text{Sharing ray } \vec{FB} \text{ yields adjacent } \angle BFC \text{ or } \angle BFD. $$

Answer:

What is an angle that is adjacent to \(\angle AFB\)?
\(\angle\) <blank>\(AFE\)</blank>