A triangle has sides measuring 15, 15, and 15. What are the angle measures of the triangle?

Since all sides are of the same length, all angles must be of the same magnitude as well.

The sum of the angles of any triangle must equal 180° so we can say:

3α=180 upon dividing both sides by 3 we see:

α=60°

So all of the angles are 60° which is true for all equilateral triangles.

The angle measures are 60, 60, 60