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

Study for the Geometry Regents Exam. Enhance your skills with flashcards and multiple choice questions, including hints and explanations. Prepare thoroughly for your test!

In an equilateral triangle, all three sides are of equal length and all three angles are of equal measure. The fundamental property of triangles is that the sum of the interior angles is always 180 degrees.

Since an equilateral triangle has three angles that are all the same, you can find the measure of each angle by dividing the total sum of the angles by the number of angles. So, you would calculate:

180 degrees (total angle sum) ÷ 3 (number of angles) = 60 degrees.

This uniform angle measure makes equilateral triangles symmetrical and consistent, which is why 60 degrees is the measure of each angle in such triangles.

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