Question

Select all that are measures of angles that are coterminal with a -50° angle.

-770°

-530°

-410°

50°

310°

360°

410°

670°

Answer 1

Answer: -770, -410, 310, 670 degrees

Explanation:

Coterminal angles are angles that are have the same sides ... they are essentially the same angle, but are, for example, rotated an extra 360 degrees.

You can add/subtract 360 degrees to check if angles are coterminal:

-770 = -50 - 360 - 360 -- YES, it is coterminal with a -50 degree angle.

-530
`\\eq` -50 - 360 ... -- NO

-410 = -50 - 360 -- YES

50
`\\eq` -50 + 360 ... -- NO

310 = -50 + 360 -- YES

360
`\\eq` -50 + 360 ... -- NO

410
`\\eq` -50 + 360 ... -- NO

670 = -50 + 360 + 360 -- YES

Answer 2

to find out which angles are coterminal, add and subtract 360 degrees from 50 degrees, so

your answer is 310, 670, -410, -770