Final answer:
The triangle with angles of 64°, 35°, and 81° is indeed a triangle because the angles sum to 180°. It is classified as an acute triangle because all angles are less than 90°.
Step-by-step explanation:
To determine the type of triangle based on its angle measurements, we sum up the given angles to see if they satisfy the condition of forming a triangle, which states that the interior angles must add up to 180 degrees. The angles given are 64°, 35°, and 81°. If we add these up: 64 + 35 + 81 = 180. Since the sum of the angles is exactly 180°, these angles do form a triangle.
The next step is to identify the type of the triangle by these angle measurements. In this case, since none of the angles is 90 degrees or greater, the given triangle is an acute triangle, where all angles are less than 90 degrees.