Question

Which pair of angles are coterminal with 120°?

240°, 600°

-240°, -600°

180°, -360°

-60°, 300°

Answer 1

-240°, -600°

Explanation:

Coterminal angles are angles that land in the same spot around a circle.

So, that means they do full turns of the circle to reach each other.

To find coterminal angles of a given angle (here 120 degrees), you add or subtract 360 (the number of degrees in a full circle). That can go in both positive or negative directions.

So, from 120 degrees, let's find the coterminal angle that is 1 rotation above and one rotation below:

120 + 360 = 480

120 - 360 = -240

You see that 480 isn't among the possible answers, so one part of the answer is -240. If you subtract another 360 degrees, you end up with -600 degrees... so the answer is -240°, -600°