Answer:
The possible solutions are 58 degree, 122 degrees, 302 degrees and 238 degrees
Step-by-step explanation:
Please see the attachment
From the figure, it is evident that
cos AOB = OB/OA = 53/100 = 0.53
Thus, cos-1 (0.53) = 58 degrees
AOB = 58 degree
Also, there are can be other values depending on the quadrants
COB = 180 -58 = 122 degrees
FOB = 360 -58 = 302 degrees
EOB = 180 + 58 = 238 degrees