If the sum of angles in a triangle is 180 degrees, what is the measure of each angle in an equilateral triangle?

In an equilateral triangle, all three sides are of equal length, which directly implies that all three angles are also equal. Since the sum of all interior angles in any triangle is always 180 degrees, we can determine the measure of each angle in an equilateral triangle by dividing the total degrees by the number of angles.

To find the measure of each angle, we use the formula:

[ \text{Measure of each angle} = \frac{\text{Total degrees}}{\text{Number of angles}} = \frac{180 \text{ degrees}}{3} ]

Calculating this gives:

[ \frac{180}{3} = 60 \text{ degrees} ]

Therefore, in an equilateral triangle, each angle measures 60 degrees. This is why the correct answer is 60 degrees. The other choices reflect different angle measures that do not apply to the properties of an equilateral triangle. For instance, while 90 degrees is a right angle and could appear in right triangles, it cannot be part of an equilateral triangle. Similarly, 45 degrees and 30 degrees do not sum in a way that fits the requirements of the angles in an equilateral triangle, which must all be equal