Final answer:
In a triangle with angles of 32, 40, and 108 degrees, the side opposite to angle x (108 degrees) is the longest side of the triangle.
Step-by-step explanation:
The student is asking about the properties of triangles, specifically which side is opposite to an angle in a triangle. In any triangle, each angle is opposite to one of the sides. Given a triangle with angles of 32, 40, and 24 degrees, the side opposite the angle x will be the side across from it. Since the angles in a triangle must add up to 180 degrees, we can calculate the measurement of angle x by subtracting the known angles from 180:
- 180 - 32 - 40 = 108 degrees
Thus, the angle x is 108 degrees . Now, we know that the side opposite to the largest angle in a triangle is the longest side. In this case, since the angles are 32, 40, and 108 degrees, angle x being the largest angle means the side opposite to it is the longest side of the triangle.