Question

What's the correct label for an angle with its vertex at point Y that passes through point X on one side of the angle and point Z on the other side of the angle? A. ∠YZX B. ∠XYZ C. ∠ZXY D. ∠X

Answer 1

The correct answer option is B. ∠XYZ.

Explanation:

In geometrical terms, an angle is the figure which is formed by two rays which are called the sides of the angle.

Here, for the described situation for a triangle XYZ, Y is the vertex with the side rays or sides of the angle YX and YZ.

Considering the sides of the angle, you can name the angle as either ∠XYZ or ∠ZYX or simple ∠Y without mentioning any side rays.

Answer 2

An angle is two rays with a common endpoint, called the vertex. The rays are the sides of the angle.

In the angle ∠XYZ, the vertex is Y, and the sides are rays
`\overrightarrow{YX}` and
`\overrightarrow{YZ}.`

You can name angles by three letters, X on one side, the vertex Y, and Z on the other side: ∠XYZ and ∠ZYX are both names for this angle. Or an angle can be named by just its vertex, for example, ∠Y, as long as it is the only angle with that vertex.

Therefore, the correct option is B