If `DeltaABC ~DeltaZYX`, then name the angles equal to `DeltaB` and `DeltaZ` respectively.

Answer

To solve the problem, we need to identify the corresponding angles of the two similar triangles, ΔABC and ΔZYX.

### Step-by-Step Solution:

1. **Understanding Similar Triangles**:
Since ΔABC is similar to ΔZYX (denoted as ΔABC ~ ΔZYX), we know that the corresponding angles of similar triangles are equal.

2. **Labeling the Angles**:
- In triangle ABC:
- Angle A is at vertex A
- Angle B is at vertex B
- Angle C is at vertex C
- In triangle ZYX:
- Angle Z is at vertex Z
- Angle Y is at vertex Y
- Angle X is at vertex X

3. **Identifying Corresponding Angles**:
From the property of similar triangles, we can write the following correspondences:
- Angle A corresponds to Angle Z
- Angle B corresponds to Angle Y
- Angle C corresponds to Angle X

4. **Finding the Required Angles**:
- We need to find which angle is equal to angle B and which angle is equal to angle Z.
- From the correspondences:
- Angle B (from ΔABC) is equal to Angle Y (from ΔZYX).
- Angle Z (from ΔZYX) is equal to Angle A (from ΔABC).

### Final Answer:
- Angle B is equal to Angle Y.
- Angle Z is equal to Angle A.