What is the sum of the interior angles of a triangle?

In any triangle, the sum of the interior angles is always 180 degrees. This is a fundamental property of triangles in Euclidean geometry. The reason behind this can be understood through various methods, such as drawing parallel lines or using the concept of transversals.

When you draw a triangle and extend one of its sides, you create alternate interior angles with the other sides of the triangle. By using these relationships, it becomes clear that the three interior angles must add up to 180 degrees.

This property holds true for all types of triangles, whether they are scalene, isosceles, or equilateral. Understanding this property is crucial for solving many geometry problems and forms the foundation for more complex theorems and concepts in mathematics.