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The question in the image asks about a key difference between Euclidean and spherical geometries, particularly focusing on the sum of the interior angles of a triangle. In Euclidean geometry, the sum of the interior angles of a triangle is always **180°**. However, in spherical geometry, the sum of the interior angles of a triangle exceeds 180°.

We are tasked with identifying which of the given options represents a triangle with angles that belong to spherical geometry. Here's the analysis:

- Option A: \( 65^\circ + 60^\circ + 60^\circ = 185^\circ \)
- Option B: \( 20^\circ + 60^\circ + 100^\circ = 180^\circ \)
- Option C: \( 30^\circ + 60^\circ + 90^\circ = 180^\circ \)
- Option D: \( 35^\circ + 60^\circ + 80^\circ = 175^\circ \)

Since in spherical geometry the sum of the angles must be **greater than 180°**, **Option A (65°, 60°, 60°)** is correct with a total of **185°**.

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the definition of spherical geometry?
2. How does the sum of angles in a triangle differ in hyperbolic geometry?
3. Can a triangle have a sum of angles less than 180° in any type of geometry?
4. How do we practically measure angles in spherical geometry (e.g., Earth)?
5. What real-life applications rely on spherical geometry?

**Tip:** In spherical geometry, the larger the area of the triangle, the greater the sum of its angles!

The sum of the interior angles of a triangle is one of the differences between Euclidean and spherical geometries. Which of the following interior angle measures of a triangle belong to spherical geometry?

Explore the differences between Euclidean and spherical geometries by analyzing the sum of the interior angles of triangles. In Euclidean geometry, the sum is always 180°, while in spherical geometry, it exceeds 180°. This problem helps students understand key geometric concepts. Suitable for Grades 9-11.

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