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.

If the average (arithmetic mean) of the measures of two angles of a quadrilateral is 60 degrees, what is the average of the measures of the other two angles?
(A)\(60\degree\) (B)\(90\degree\) (C)\(120\degree\) (D)\(180\degree\) (E)\(240\degree\)
C

A triangle has a perimeter of 16 and one side of length 4. If the lengths of the other two sides are equal, what is the length of each of the other two sides?
(A)5 (B)6 (C)7 (D)8 (E)9
B

Two sides of a right triangle are 5 and 6. Which of the following could be the length of the third side? I. \(\sqrt { 11 } \) II. \(\sqrt { 31 } \) III. \(\sqrt { 61 } \)
(A)I only (B)III only (C)I and II only (D)I and III only (E)I, II, and III

D

