Question

the triangle sum theorem states that the sum of all angles in a triangle is _______. 90° 360° 180° 45°

Explanation:

The Triangle Sum Theorem is a fundamental geometric principle. In geometry, when considering the angles of a triangle, regardless of its type (acute, obtuse, or right - angled), the sum of its interior angles is always \(180^{\circ}\). This can be verified through various geometric proofs, such as drawing a line parallel to one side of the triangle and using the properties of alternate interior angles.

Answer:

\(180^{\circ}\)