Question

what is the sum of the interior angles of an equilateral triangle?
a. 60°
b. 90°
c. 180°
d. 360°

Explanation:

Step1: Recall Triangle Angle Sum

The sum of the interior angles of any triangle (including equilateral) is a fundamental geometric principle. For any triangle, the sum is $180^\circ$.

Step2: Evaluate Options

• Option A: $60^\circ$ is the measure of each angle in an equilateral triangle, not the sum.
• Option B: $90^\circ$ is a right angle, not the sum of a triangle's angles.
• Option C: $180^\circ$ matches the triangle angle - sum property.
• Option D: $360^\circ$ is the sum of interior angles of a quadrilateral, not a triangle.

Answer:

C. $180^\circ$