What is the sum of the angles in a triangle?

The sum of the angles in a triangle is 180 degrees. This fundamental property of triangles holds true for all types of triangles, whether they are scalene, isosceles, or equilateral. The reasoning behind this is grounded in Euclidean geometry, where the interior angles of any triangle will always total this specific measurement.

When you visualize a triangle, you can think of drawing a line parallel to one side through the opposite vertex. This method helps illustrate that the angles formed with the transversal equal the angles in the triangle, ultimately confirming their sum as 180 degrees.

Understanding this property is crucial for solving various geometric problems and for working with polygons, as it establishes a foundational concept upon which more complex geometric principles are built.