Question 592515
Use the law of sines.


sin(A)/a = sin(C)/c


sin(45)/15 = sin(C)/8


8*sin(45)/15 = sin(C)


8*(sqrt(2)/2)/15 = sin(C)


(4*sqrt(2))/15 = sin(C)


sin(C) = (4*sqrt(2))/15


C = arcsin( (4*sqrt(2))/15 )


C = 22.155626


So the angle C is roughly 22.155626 degrees