SOLUTION :-
The Angle 257° will lie in the Quadrant III .
STEP-BY-STEP EXPLANATION :-
We have been asked to find .
• In which quadrant does the terminal side of the angle 257° lie ?
- As we know that in the first quadrant angle is from 0 to 90 ° .
In the second quadrant angle is from 90 to 180°.
In the third quadrant angle is from 180 to 270° .
In the fourth quadrant angle is from 270 to 360° .
Hence,The Angle 257 will lie in the third Quadrant .....
Hope this helps !!