Step 1: Understanding the Concept:
This is a fundamental theorem in Euclidean geometry, which was well-understood in the Indian mathematical tradition (Vyakta-ganita). The sum of the interior angles of any triangle, regardless of its shape (equilateral, isosceles, or scalene), is always a constant value.
Step 2: Detailed Explanation:
In Indian astronomy, this is often expressed in terms of the 'Paridhi' (circumference). Since a full circle is 360 degrees, a straight line is 180 degrees.
- The sum of the three angles of a triangle is equal to two right angles (\( 90^\circ + 90^\circ = 180^\circ \)).
- In Sanskrit, this is sometimes referred to as 'Ardha-chakram' (Half-circle) in terms of angular measure.
- Option Analysis: 360 degrees is the sum for a quadrilateral. 180 degrees is the unique sum for a triangle. 120 degrees is the measure of a single angle in a regular hexagon.
Step 3: Final Answer:
The total sum of angles in a triangle is 180 degrees.