1. The problem is to classify a triangle by its sides based on the given description. 2. The triangle has two equal angles, which implies two equal sides opposite those angles. 3. A triangle with exactly two equal sides is called an isosceles triangle. 4. Since it is not stated that all three sides are equal, it is not equilateral. 5. It is also not scalene because scalene triangles have all sides of different lengths. 6. Therefore, the triangle is isosceles but not equilateral.