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What is the sum of the measures of angles in a triangle?

  1. 90 degrees

  2. 180 degrees

  3. 270 degrees

  4. 360 degrees

The correct answer is: 180 degrees

The sum of the measures of the angles in a triangle is always 180 degrees. This fundamental property of triangles is a crucial concept in geometry. It applies regardless of the type of triangle—be it scalene, isosceles, or equilateral. This characteristic arises from the fact that if you draw a line parallel to one side of the triangle through the opposite vertex, it creates two alternate interior angles with the other two angles of the triangle. These three angles, when added together, will always equal 180 degrees. Given the standard definitions and properties of triangles in Euclidean geometry, the answer that states the sum is 180 degrees is correct.