How do you determine the quadrant in which the angle $257^circ30'$ lies?

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Answer 1 · 2017-02-05T07:30:58

Angle $257^@30'$ lies in Q3.

First quadrant Q1 is $0^@$ to $90^@$

Second quadrant Q2 is $90^@$ to $180^@$

Third quadrant Q3 is $180^@$ to $270^@$

and fourth quadrant Q4 is $270^@$ to $360^@$

Hence as $257^@30'$ lies between $180^@$ and $270^@$

Angle $257^@30'$ lies in Q3.

How do you determine the quadrant in which the angle 257^circ30'257^circ30' lies?