What type of triangle doesn't have any equal angles?

A triangle that doesn't have any equal angles is defined as a scalene triangle. In a scalene triangle, all three sides are of different lengths, and consequently, all three angles are also different. This characteristic is what sets scalene triangles apart, making them distinct from isosceles and equilateral triangles, where at least two angles or all three angles, respectively, are equal.

In contrast, an isosceles triangle has at least two equal angles (and two equal sides), while an equilateral triangle has all three angles equal, each measuring 60 degrees. A right triangle, which specifically has a 90-degree angle, may or may not be classified as scalene depending on the lengths of its other two sides and their corresponding angles.

Thus, the correct classification of a triangle with no equal angles is indeed a scalene triangle.