The sum of the angles of a triangle is:

The sum of the angles in a triangle is always 180 degrees. This fundamental property holds true for all types of triangles, whether they are scalene, isosceles, or equilateral. Mathematically, when you measure the interior angles of any triangle and add them together, you will consistently arrive at a total of 180 degrees.

This concept is grounded in Euclidean geometry, where the angles are determined by the straight lines that compose the triangle's sides. The relationship can be demonstrated practically by drawing a triangle and creating a straight line through one of its vertices; you'll notice that the angles adjacent to the line and the angle of the triangle add to 180 degrees.

Understanding this principle is essential for various applications in geometry, trigonometry, and real-world engineering scenarios, particularly when assessing shapes and their properties.