Question

looking at ∠z, identify the red side as the hypotenuse, adjacent, or opposite

Explanation:

In a right - triangle, for an acute angle (here $\angle Z$):

1. The hypotenuse is the side opposite the right angle (the longest side, opposite $\angle Y$ here).
2. The adjacent side to an acute angle is the leg that forms the angle along with the hypotenuse. The opposite side is the leg that does not form the angle.

For $\angle Z$, the red side (leg $ZY$) forms $\angle Z$ along with the other leg (not the hypotenuse), so it is the adjacent side to $\angle Z$.

Answer:

Adjacent