The given angle is in radians and has to be converted into degrees.
To convert a radian measure to degrees multiply it by 180/π
Angle in radians = [tex] \frac{257 \pi }{360} [/tex]
Angle in degrees will be:
[tex] \frac{257 \pi }{360}* \frac{180}{ \pi } \\ \\
= \frac{257}{2} [/tex]
Therefore, the measure of the given angle in degrees will be 257/2