Question

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

Answer 1

The first quadrant

Explanation:

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.