Question

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

Explanation:

Identify the given angle

Using the Naming Angles knowledge point
The given angle is \(\angle FGB\).
The vertex of this angle is point \(G\).
The two rays forming this angle are ray \(GF\) and ray \(GB\).

Find adjacent angles

Using the Adjacent Angles knowledge point
Adjacent angles share a common vertex and a common ray, with no interior points in common.
The angles adjacent to \(\angle FGB\) must share vertex \(G\) and either ray \(GF\) or ray \(GB\).

• Sharing ray \(GF\): The angle on the other side of ray \(GF\) is \(\angle EGF\) (or \(\angle FGE\)).
• Sharing ray \(GB\): The angle on the other side of ray \(GB\) is \(\angle BGA\) (or \(\angle AGB\)) or \(\angle BGC\) (or \(\angle CGB\)).

Answer:

What is an angle that is adjacent to \(\angle FGB\)? <blank>\(\angle FGE\)</blank>