Each angle of an equilateral triangle measures .......

Answer

To find the measure of each angle in an equilateral triangle, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Triangle**:
- An equilateral triangle is a triangle where all three sides are equal in length.
- Since all sides are equal, all angles in an equilateral triangle are also equal.

2. **Naming the Angles**:
- Let's denote the angles of the equilateral triangle as angle A, angle B, and angle C.

3. **Using the Triangle Angle Sum Property**:
- We know that the sum of all angles in any triangle is always 180 degrees. Therefore, we can write the equation:
\[ \text{Angle A} + \text{Angle B} + \text{Angle C} = 180^\circ \]

4. **Setting Up the Equation**:
- Since angle A, angle B, and angle C are all equal in an equilateral triangle, we can denote them as:
\[ \text{Angle A} = \text{Angle B} = \text{Angle C} = x \]
- Thus, we can rewrite the equation as:
\[ x + x + x = 180^\circ \]
- This simplifies to:
\[ 3x = 180^\circ \]

5. **Solving for x**:
- To find the value of x (which represents each angle), we divide both sides of the equation by 3:
\[ x = \frac{180^\circ}{3} \]
- Calculating this gives:
\[ x = 60^\circ \]

6. **Conclusion**:
- Therefore, each angle of an equilateral triangle measures **60 degrees**.