If angle B=39 and minor arc PS=116, find the degree measure of arc AS .
[asy]import math;size(6 cm);pair O = (0,0), A = dir(90), P = dir(10), SS = dir(250), C = (1,1), B = extension(A,C,SS,P);draw(Circle(O,1));draw(A--B--SS);dot("$A$",A,N);label("$B$",B,E);label("$P$",P,SE);label("$S$",SS,S);[/asy]