The azimuth is the angle measured in clockwise from the north.
The given system can be represented as,
From the diagram,
The angle 90 degree from the north point towards the east.
The angle 180 degree from the north point towards the south.
The angle 195 degree from the north point towards south west.
The angle 135 degree from the north is in between the east and the south.
Thus, the azimuth to see the star in the south east is 135 degrees.
Hence, option B is the correct answer.