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?
$\bigcirc$ $\angle g$
$\bigcirc$ $\angle h$
$\bigcirc$ $\angle k$
$\bigcirc$ $\angle h$ and $\angle k$
triangle with right angle at h, vertices g, h, k

Explanation:

Step1: Identify right triangle parts

The triangle is right-angled at $H$, so $\overline{GK}$ is the hypotenuse (matches given).

Step2: Analyze sides for $\angle G$

For $\angle G$: adjacent side is $\overline{GH}$ (shares vertex $G$), opposite side is $\overline{HK}$ (does not share vertex $G$). This matches all given statements.

Step3: Verify other angles

For $\angle H$: it is the right angle, so it has no "opposite/adjacent" in this context. For $\angle K$: adjacent side would be $\overline{HK}$, opposite would be $\overline{GH}$, which does not match the given descriptions.

Answer:

$\angle G$