To determine the type of triangle, we need to consider the measures of its angles.
In this case, the triangle has angles measuring 46 degrees, 51 degrees, and 83 degrees.
To classify the triangle, we can use the sum of angles in a triangle, which is always 180 degrees.
If the sum of the given angles is equal to 180 degrees, then it is a valid triangle.
Let's add the angles:
46 degrees + 51 degrees + 83 degrees = 180 degrees
Since the sum of the angles is equal to 180 degrees, this triangle is a valid triangle.
Now, let's determine the type of triangle based on its angles:
- If all three angles are less than 90 degrees, it is an acute triangle.
- If one angle is exactly 90 degrees, it is a right triangle.
- If one angle is greater than 90 degrees, it is an obtuse triangle.
In this case, the given triangle has angles measuring 46 degrees, 51 degrees, and 83 degrees. None of the angles are equal to or greater than 90 degrees.
Therefore, based on the given angles, the triangle is an acute triangle.