In your own words give a clear logical explanation for why the angles in a triangle must always add up to 180 degrees?

The sum of the angles in a triangle is always 180 degrees due to the properties of Euclidean geometry. When you draw a triangle, you can extend one of its sides and create corresponding angles with the adjacent angles formed by the line. Using the concept of alternate interior angles, you can show that the sum of these angles at the triangle's vertices must equal a straight line, which measures 180 degrees. This geometric relationship holds true for all triangles in a flat, two-dimensional plane.