Question

fill in the blank so that the resulting statement is true. the sum of the measures of the interior angles of a triangle is

Explanation:

Step1: Recall Triangle Angle Sum

The sum of the interior angles of any triangle is a fundamental geometric theorem. For a triangle, the three interior angles add up to a specific measure.

Step2: Determine the Sum

By the triangle angle - sum theorem, the sum of the measures of the interior angles of a triangle is \(180^{\circ}\) (or \(\pi\) radians, but in the context of angle - measure in degrees for basic geometry, \(180^{\circ}\) is the standard value).

Answer:

\(180^{\circ}\) (or \(\pi\) radians, but \(180^{\circ}\) is the most common answer in the context of this problem)