**1.** 

Which of these statements is true about the sum of the measures of the interior angles of a triangle?

A.The sum of the interior angles of a triangle is always 360°.

B.The sum of the interior angles of a triangle depends on the type of triangle.

C.The sum of the interior angles of a triangle is always 180°.

D.The sum of the interior angles of a triangle can vary if the triangle is obtuse.


**Correct Answer: C. The sum of the interior angles of a triangle is always 180°.**

### Explanation:
In Euclidean geometry, the sum of the interior angles of any triangle, regardless of its type (acute, obtuse, or right), is always 180°. This is a fundamental property of triangles.

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### Related Questions:

1. What is the sum of the interior angles of a quadrilateral?
2. How can you prove that the sum of the interior angles of a triangle is 180°?
3. Does the sum of the interior angles of a triangle change in non-Euclidean geometry?
4. How do you calculate the measure of each angle in an equilateral triangle?
5. If two angles of a triangle are known, how can you find the third angle?

### Tip:
When solving for the angles of a triangle, remember that the sum will always be 180°, which is helpful when finding unknown angles.

Which of these statements is true about the sum of the measures of the interior angles of a triangle?

A. The sum of the interior angles of a triangle is always 360°.

B. The sum of the interior angles of a triangle depends on the type of triangle.

C. The sum of the interior angles of a triangle is always 180°.

D. The sum of the interior angles of a triangle can vary if the triangle is obtuse.

Understand why the sum of the interior angles of any triangle is always 180°, a fundamental property in Euclidean geometry. Explore related questions about angles in various polygons and triangles. Ideal for students in Grades 6-8.

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