Question

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

Explanation:

Step1: Understand adjacent segments to an angle

Adjacent segments to an angle share a common vertex with the angle.
For ∠M, the segments that share vertex M are \( \overline{MI} \) and \( \overline{MJ} \). But in a right - angled triangle context (here ∠I = 90°), when we talk about adjacent in the sense of forming the angle (not the hypotenuse - like \( \overline{IJ} \) which is opposite to ∠M in a way related to triangle side - angle relationships), \( \overline{MI} \) is adjacent.

Answer:

\(\overline{MI}\)