What is the value of each angle in an equilateral triangle?

What is the value of each angle in an equilateral triangle?

• A. 90 degrees
• B. 45 degrees
• C. 60 degrees
• D. 30 degrees

Answer: (C)

In an equilateral triangle, all three sides are of equal length, which also means that all three angles are equal. The total sum of the interior angles in any triangle is always 180 degrees. Since an equilateral triangle has three angles that are equal, each angle can be calculated by dividing the total sum of the angles by the number of angles: 180 degrees ÷ 3 = 60 degrees. Therefore, each angle in an equilateral triangle measures 60 degrees. This property of equilateral triangles is fundamental to geometry and illustrates the relationship between side lengths and angles.

In an equilateral triangle, all three sides are of equal length, which also means that all three angles are equal. The total sum of the interior angles in any triangle is always 180 degrees. Since an equilateral triangle has three angles that are equal, each angle can be calculated by dividing the total sum of the angles by the number of angles:

180 degrees ÷ 3 = 60 degrees.

Therefore, each angle in an equilateral triangle measures 60 degrees. This property of equilateral triangles is fundamental to geometry and illustrates the relationship between side lengths and angles.