Geometry

Question Analysis:
This question focuses on the fundamental property of an equilateral triangle regarding its angle measures.
The main focus is to test the knowledge of the equal - angle property of equilateral triangles and the sum of interior angles of a triangle.

Key Concept Explanation:
1. An equilateral triangle is defined as a triangle with all three sides equal.
As a consequence of this, all three angles of an equilateral triangle are also equal.
2. The sum of the interior angles of any triangle is .

Step - by - Step Solution:
Let the measure of each angle in the equilateral triangle be .
Since there are three angles in a triangle and they are all equal in an equilateral triangle, we can write the equation based on the angle - sum property of a triangle: .
Combining like terms, we get .
To solve for , divide both sides of the equation by

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