Question

name the marked angle in 2 different ways

Explanation:

Step1: Identify the vertex and sides

The marked angle has vertex at the top (let's assume the top vertex is, say, \( Z \), with sides \( ZX \) and \( ZY \)). So one way is to name it using the vertex: \( \angle Z \).

Step2: Name using three points

Using the three points (with the vertex in the middle), the angle can be named \( \angle XZY \) (assuming the top vertex is \( Z \), left is \( X \), right is \( Y \)).

Answer:

\( \angle Z \), \( \angle XZY \) (Note: The actual vertex label might vary based on the diagram's unlabeled top vertex; if the top vertex is, for example, \( A \), then it would be \( \angle A \) and \( \angle XAY \), but based on the given points \( X \) and \( Y \), the three - point name uses the two endpoints and the vertex. The key is that one name uses the vertex alone (if unique at that vertex) and the other uses three points with the vertex in the middle.)