Question

In the circle mBC = 66 , the diagram is not drawn to scale. What is angle BCP ?
A:33
B:66
C:114
D:132

Answer 1

PQ is the tangent, so, we have the theorem that says: The arc measure is double the amount of the angle the tangent makes. 
Therefore, 66/2 = 33, thus the answer is letter A.
(see attached file for further explanation on the theorem). 

Answer 2

Answer is A. 33
Hope this helps a bunch