# The given angle -307° is in standard position, how do you determine the quadrant in which the angle lies?

Jul 28, 2015

To answer the question, note that a right angle corresponds to 90°. So, two right angles correspond to  2 * 90° = 180° , three right angles correspond (similarly) to  270°  and 4 right angles to  360° . (Please try to memorise the values.)
Thus, any angle between  0°  and  90°  falls in the 1st quadrant, between  90°  and  180°  falls in the 2nd quadrant, and so on.
Now, an angle does not change if you add  360°  to it, since it represents one complete rotation.
Following this rule, -307° = -307° + 360° = 53° , which falls in the first quadrant.