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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]

 Feb 23, 2020
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Because of the tangency, arc AS = 39 + 116/2 = 97 degrees.

 Feb 23, 2020

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