To find the sum of the interior angles of a triangle, consider the following well-established geometric principle: the sum of the interior angles of any triangle is always the same. This fundamental property can be derived and proven through various geometrical methods, such as using the parallel postulate and the properties of parallel lines intersected by a transversal.
When we examine the angles of a triangle, we can conclude that the sum of these angles always equals a specific value. This conclusion is consistent across all types of triangles, whether they are scalene, isosceles, or equilateral.
Given the options:
a. [tex]$45^{\circ}$[/tex]
b. [tex]$90^{\circ}$[/tex]
C. [tex]$180^{\circ}$[/tex]
d. [tex]$360^{\circ}$[/tex]
Among these choices, the correct answer is:
C. [tex]$180^{\circ}$[/tex]
Thus, the sum of the interior angles of a triangle is always [tex]$180^{\circ}$[/tex].
