You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.

[EX Q]: In a certain triangle, the measure of the largest angle is 40 degrees more than the measure of the middle-sized angle. If the measure of the smallest angle is 20 degrees, what is the degree measure of the largest angle?
(A)60 (B)80 (C)100 (D)120 (E)160
[EX A]: C

[EX Q]: Points A, B and C are three vertices of a triangle. The location of point X is such that AX = BX. Which of the following could be true? I. X is on \(\overline { AB } \) II. X is inside \(\triangle { ABC } \) III. X is outside \(\triangle { ABC } \)
(A)I only (B)III only (C)I and II only (D)II and III only (E)I, II and III
[EX A]: E

[EX Q]: The center of a circle is at the origin of a rectangular coordinate plane. If the points \((-3,0)\), \((0,3)\), and \((3,0)\) are on the circumference of the circle, what is the probability that a randomly selected point from within the circle will fall within the triangle formed by those three points?
(A)\(\frac{1}{4}\) (B)\(\frac{1}{\pi}\) (C)\(\frac{1}{3}\) (D)\(\frac{\pi}{4}\) (E)\(\frac{\pi}{3}\)
[EX A]:
B