The Triangle Angle Sum Theorem is a fundamental concept in geometry that states the sum of the interior angles in any triangle is always equal to 180 degrees. This theorem allows us to make important deductions and solve various problems involving triangles.

To understand the Triangle Angle Sum Theorem, let's consider a triangle with angles A, B, and C. The theorem states that A + B + C = 180°. This holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.

For example, let's say we have a triangle with angle A measuring 60° and angle B measuring 80°. To find the measure of angle C, we can use the formula: C = 180° - (A + B). Thus, C = 180° - (60° + 80°) = 40°.

The Triangle Angle Sum Theorem is immensely helpful when solving various geometrical problems. For instance, it enables us to quickly find missing angles in a triangle, determine whether a set of angles forms a valid triangle, or even classify the type of triangle based on angle measures.

Remember, understanding the Triangle Angle Sum Theorem is essential for a solid foundation in geometry. So keep practicing and exploring the fascinating world of triangles!