When drawn in standard position, the terminal ray of an angle measuring 480 degrees lies in which quadrant?

Question

a) Quadrant I

b) Quadrant II

c) Quadrant III

d) Quadrant IV

Answer 1

A full rotation of the angle would be 360 °, which would leave your terminal side back on the positive x-axis where the rotation of the angle began. So you need to go 120º beyond that, rotating counterclockwise, which will put you into the second quadrant.

Answer 2

Since 360° + 90° = 450°

450° +30° = 480°

Then 480 degrees would be in Quadrant II

Also

480° - 360° = 120° = 90° all of Quadrant I + 30° into Quadrant II

Again this places 480° into Quadrant II

I hope this helps