Question

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

Explanation:

Step1: Recall the definition of adjacent side in a right - triangle

In a right - triangle, for an acute angle, the adjacent side is the non - hypotenuse side that forms the angle.

Step2: Analyze the sides relative to \(\angle Z\)

In right - triangle \(ZLC\) with right angle at \(L\), the hypotenuse is \(CZ\). The sides forming \(\angle Z\) are \(LZ\) and \(CZ\). Since \(CZ\) is the hypotenuse, the non - hypotenuse side forming \(\angle Z\) is \(LZ\).

Answer:

\(\overline{LZ}\)