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The diagram shows two triangles that share a common side (labeled as "h"). The given angles are 72°, 30°, and 25°. To find the value of \( h \), we need to apply trigonometric principles or geometric methods based on the relationships between the angles and sides.

### Step-by-Step Approach:

1. **Analyze the larger triangle:**
   - The top angle is 72°.
   - The sum of the angles in any triangle is 180°. Therefore, the two remaining angles must sum to \( 180° - 72° = 108° \).
   - We are given that one of these angles is 30°, so the other must be \( 108° - 30° = 78° \).

2. **Analyze the smaller triangle:**
   - The two given angles are 25° and 30°. Therefore, the third angle must be \( 180° - 25° - 30° = 125° \).

3. **Height relation and trigonometry:**
   - The height "h" can be determined using trigonometric ratios such as sine or cosine, depending on what side lengths or relationships are provided or assumed.

Would you like to solve for \( h \) using trigonometry, or is there additional information or a specific method you'd like to apply? Let me know how you'd like to proceed!

Find the value of the height (h) in a triangle where the angles are 72°, 30°, and 25°.

Learn how to solve a triangle with angles 72°, 30°, and 25° to determine the height (h). This problem involves key geometric principles like the triangle sum theorem and trigonometric ratios. Suitable for high school students in Grades 9-12.

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