Question

julian describes an angle in the triangle using these statements.
\overline{gh} is the adjacent side.
\overline{hk} is the opposite side.
\overline{gk} is the hypotenuse.
which angle(s) is julian describing?
\\(\angle g\\)
\\(\angle h\\)
\\(\angle k\\)
\\(\angle h\\) and \\(\angle k\\)

Explanation:

Step1: Recall trigonometric side - angle relationships

In a right - triangle, for an acute angle, the adjacent side is the non - hypotenuse side next to the angle, the opposite side is the side across from the angle, and the hypotenuse is the longest side.

Step2: Analyze for each angle

For $\angle G$, the adjacent side is $\overline{GH}$, the opposite side is $\overline{HK}$, and the hypotenuse is $\overline{GK}$.
For $\angle H$, it is a right - angle and the concepts of opposite and adjacent for non - right angles don't apply in the same way. For $\angle K$, the adjacent side is $\overline{HK}$ and the opposite side is $\overline{GH}$.

Answer:

$\angle G$