Question

which segment is adjacent to \\( \angle b \\)?

Explanation:

Step1: Recall the definition of adjacent segments

Adjacent segments share a common vertex.

Step2: Analyze each option

• For \(\overline{BE}\): It shares vertex \(E\) with \(\angle E\) but is not adjacent in the sense of forming the angle.
• For \(\overline{EA}\): It shares vertex \(E\) with \(\angle E\) and is one of the sides forming the right - angle at \(E\).
• For \(\overline{BA}\): It does not share a vertex with \(\angle E\) in a way that forms the angle.

Answer:

\(\overline{EA}\)