−375° lies in which quadrant?

Think it through first, then pick an option.

Answer and explanation

Correct answer: d 4th

-375° + 2 × 360° = 345°, which lies between 270° to 360°; so the 4th quadrant.

Why the other options are wrong

a 1st: The 1st quadrant holds angles from 0° to 90°; the equivalent angle of -375° is 345°, so it is not this one.
b 2nd: The 2nd quadrant holds angles from 90° to 180°; the equivalent angle of -375° is 345°, so it is not this one.
c 3rd: The 3rd quadrant holds angles from 180° to 270°; the equivalent angle of -375° is 345°, so it is not this one.