The correct options are
A a=130o
C b=50o
As∠PORand∠QORformalinearpair(given)∠POR+∠QOR=180(Linearpairaxiom)ora+b=180...........(1)Alsoa−b=80...........(2)[Given]Addingequations(1)and(2),weget2a=260a=2602=130Substitutingthevalueofain(1),weget130+b=180b=180−130=50Hencea=130b=50