The notation \( m\angle VRU \) and \( m\angle URW \) refers to the measures of the angles \( \angle VRU \) and \( \angle URW \). To determine these measures, more information is needed, such as:

- The values of the angles or any given measurements.
- Relationships between the angles (e.g., they are complementary, supplementary, or congruent).
- Any other geometric properties or diagrams.

If you have a diagram or additional information, please provide it so that I can help you determine the angle measures.

Would you like to:

1. Upload a diagram for analysis?
2. Provide any given values for the angles?
3. Explain if these angles are part of a specific shape or configuration?
4. Describe any given angle relationships (e.g., parallel lines, intersecting lines)?
5. Discuss any relevant theorems (e.g., alternate interior angles, corresponding angles)?

**Tip:** In geometry, identifying relationships between angles often involves properties of parallel lines, triangles, and other polygons.

This problem explores the angle measurements of ∠VRU and ∠URW in a geometric configuration. Learn how to apply key concepts such as the angle-sum theorem, supplementary angles, and congruent angles to solve for unknown angle measures. Suitable for students in Grades 8-10.

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