Question

which means the same as ∠yxz? ∠zxy ∠yxw ∠x

Explanation:

Step1: Recall angle - naming convention

An angle can be named in different ways. When naming an angle using three - letter notation, the vertex letter must be in the middle. $\angle YXZ$ has vertex $X$, with rays $\overrightarrow{XY}$ and $\overrightarrow{XZ}$.

Step2: Check each option

• For $\angle ZXY$, the vertex is $X$, and the rays are $\overrightarrow{XZ}$ and $\overrightarrow{XY}$, which is the same angle as $\angle YXZ$.
• For $\angle YXW$, the rays are $\overrightarrow{XY}$ and $\overrightarrow{XW}$, which is a different angle from $\angle YXZ$.
• For $\angle X$, a single - letter angle name is not as clear as the three - letter name when there are multiple angles at a vertex. In the context of the three - letter naming of $\angle YXZ$, $\angle X$ is not the best equivalent.

Answer:

$\angle ZXY$