Final answer:
A triangle with angles measuring 25 degrees, 60 degrees, and 75 degrees is an acute triangle because all its angles are less than 90 degrees, and the angles add up to 180 degrees.
Step-by-step explanation:
When considering the classification of a triangle based on its angles, we look at the measurements given. Specifically, a triangle with angles measuring 25 degrees, 60 degrees, and 75 degrees adds up to 180 degrees, which is a requirement for any triangle. Since all the angles are less than 90 degrees, this triangle is classified as an acute triangle.
Triangles can be categorized as follows:
- An acute triangle has all three angles less than 90 degrees.
- A right triangle has one angle exactly 90 degrees.
- An obtuse triangle has one angle greater than 90 degrees.
- An equilateral triangle has all three angles equal to 60 degrees.
Since none of the angles in this triangle are 90 degrees or greater, and not all angles are equal, we can effectively determine that it is not a right, obtuse, or equilateral triangle, but indeed an acute triangle.