Final answer:
The labels of the vertices and elements needed to find x in a triangle are Side AB, Side BC, and Side AC. Using the concept of angles in a triangle, we can find the value of x by summing up all the angles.
Step-by-step explanation:
The question is asking for the labels of the vertices and elements needed to find x in a triangle. The correct answer is option C. Side AB, Side BC, Side AC.
To find x, we need to use the concept of angles in a triangle. In a triangle, the sum of all angles is always 180 degrees. Therefore, Angle A + Angle B + Angle C = 180 degrees.
Since Angle C is given as 90 degrees, and Angle A and Angle B are both unknown, we can sum up all the angles and find the value of x.