Question

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

Answer 1

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

Explanation:

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.