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The question asks: 

**"Which of the following cannot be the sum of the measures of the angles in a triangle in spherical geometry? Select all that apply."**

### Key Concept: 
In **spherical geometry**, the sum of the angles in a triangle is always **greater than 180°** but **less than 540°**. This is because the curvature of the sphere causes the angles to be larger than in Euclidean geometry (where the sum is exactly 180°).

### Let's analyze each option:
- **A. 270°** – This is possible since it is greater than 180° and less than 540°.
- **B. 140°** – This is **not possible**, as the sum must be greater than 180° in spherical geometry.
- **C. 195°** – This is possible, as it is greater than 180° and less than 540°.
- **D. 180°** – This is **not possible**, as it equals 180°, which occurs only in Euclidean geometry.
- **E. 265°** – This is possible, as it is greater than 180° and less than 540°.

### Therefore, the correct answers are:
- **B. 140°**
- **D. 180°**

Would you like more details or further clarification?

Here are 5 related questions to explore the concept:
1. What is the sum of the angles in a triangle in Euclidean geometry?
2. How does spherical geometry differ from Euclidean geometry?
3. Can a triangle in spherical geometry have an angle sum of 360°?
4. What is the relationship between the area of a spherical triangle and its angle sum?
5. How does the curvature of a sphere affect the properties of triangles?

**Tip:** In spherical geometry, always check if the angle sum is greater than 180° when determining if a value is valid.

Which of the following cannot be the sum of the measures of the angles in a triangle in spherical geometry? Select all that apply.

Understand the properties of triangles in spherical geometry and learn which angle sums are valid. In spherical geometry, the sum of the angles of a triangle is always greater than 180° but less than 540°. Review common misconceptions and key examples, including why certain sums like 140° and 180° are not possible.

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