To determine the type of triangle based on its angles, we can recall the following definitions:
- An acute triangle has all angles less than 90 degrees.
- A right triangle has one angle equal to 90 degrees.
- An obtuse triangle has one angle greater than 90 degrees.
Given the angles in the triangle: 46°, 51°, and 83°.
- All of the angles (46°, 51°, and 83°) are less than 90°, so the triangle is not a right triangle.
- All of the angles are also less than 90°, meaning it cannot be an obtuse triangle.
Since all three angles are less than 90 degrees, this triangle is classified as an acute triangle.
So the answer is: acute triangle.