What is the sum of the angles in a triangle?

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

The sum of the angles in a triangle is always 180 degrees regardless of the type of triangle. This is a fundamental property of Euclidean geometry and holds true for all triangles whether they are scalene, isosceles, or equilateral.

Each angle in a triangle contributes to this total, and together they always sum to 180 degrees. This property is essential for various applications in mathematics, such as solving for unknown angles, proving other geometrical theorems, and understanding the nature of polygons.

When visualizing a triangle, if you were to extend one of its sides, you can observe how the interior angles relate to exterior angles, further reinforcing that the total remains consistent at 180 degrees.

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