Question

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?
a) 58 b) 30.5 c) 119 d) 61

Answer 1

61, d

Answer 2

you can automatically rule out B and C since 30.5 is too small and 116 is too big (IF this diagram is drawn to scale)
now unless you are told that OQ is perpendicular to QP, we cannot determine whether the answer is 58 or 61.