Challenge 353: Smallest Angle
What's the smallest this angle could be?
AB is a diameter of a circle C with centre O.
P lies on the straight line through A and B, with B in between A and P.
P also lies on the line L , which is a tangent to C, touching C at Q.
Angles APQ and QAP are both a non-zero whole number of degrees.
What is the smallest possible size of angle APQ in degrees?