The Triangle Angle-Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees. This holds true for all types of triangles, whether they are scalene, isosceles, or equilateral.
To illustrate the theorem, consider a triangle with angles \( A \), \( B \), and \( C \). According to the theorem, the relationship can be expressed mathematically as:
\[ A + B + C = 180^\circ \]
This theorem is fundamental in geometry and is commonly used to solve for unknown angles in triangle-related problems.