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

The sum of the interior angles of a triangle is always 180 degrees, regardless of the type of triangle. This property holds true for all triangles—whether they are scalene, isosceles, or equilateral. The reason is rooted in the geometric principles that govern the properties of triangles: when you draw a triangle and extend one of its sides, the angles formed by this extension and the adjacent angles add up to 180 degrees.

This fundamental concept is crucial in various applications throughout geometry and higher mathematics, including proofs and solving problems related to polygons and other geometric shapes. Understanding the 180-degree sum of triangle angles serves as a foundation for further study in geometry, enabling students to explore more complex figures and the relationships between their angles.