What is the sum of the angles in any triangle?

The sum of the angles in any triangle is always 180 degrees. This is a fundamental property in geometry that applies to all triangles, regardless of their type—whether they are scalene, isosceles, or equilateral.

When you draw a triangle, you can observe that the internal angles are formed at each vertex, and if you were to connect the vertices to a point outside the triangle (or extend the lines), it becomes evident that these angles create supplementary relationships with other angles formed. Adding up the three internal angles of a triangle will consistently yield 180 degrees.

This property holds true across various geometrical contexts, reinforcing its importance in both theoretical and practical applications, such as in construction, design, and various fields of science and engineering. Thus, understanding that the sum is always 180 degrees is crucial for solving problems related to triangles.