A triangle's three angles always add up to [tex]$\qquad$[/tex].
Select one:
a. [tex]$45^{\circ}$[/tex]
b. [tex]$90^{\circ}$[/tex]
c. [tex]$180^{\circ}$[/tex]
d. [tex]$360^{\circ}$[/tex]
Answer (1)
The problem requires identifying the sum of angles in a triangle.
Recall the theorem that the sum of the interior angles of a triangle is 18 0 ∘ .
Select the correct option based on the theorem.
The sum of the angles in a triangle is: 18 0 ∘
Explanation
Problem Analysis The question asks us to identify the sum of the interior angles of a triangle from the given options.
Recall the Theorem We know from basic geometry that the sum of the interior angles of any triangle is always 18 0 ∘ . This is a fundamental theorem in Euclidean geometry.
Identify the Correct Option Therefore, the correct answer is c. 18 0 ∘ .
Examples
In architecture, understanding that a triangle's angles sum to 18 0 ∘ is crucial for designing stable and aesthetically pleasing structures. For example, when constructing a roof, architects use triangles to ensure structural integrity. Knowing the angles must add up to 18 0 ∘ helps them calculate the necessary slopes and angles for proper support and water runoff, ensuring the building is both safe and visually appealing.
