Answer:
A triangle, by definition, has three sides and three angles. In a triangle, the sum of the angles is always 180 degrees. In order for an angle to be considered "acute," it must be less than 90 degrees.
So, to find the greatest number of acute angles that a triangle can contain, we need to maximize the number of angles that are less than 90 degrees. Since there are only three angles in a triangle, and the sum of the angles must be 180 degrees, the maximum number of acute angles a triangle can contain is three.
Therefore, a triangle can contain a maximum of three acute angles.