Are 35° and - 685° coterminal?

Answer: YES

Step-by-step explanation:

Coterminal means they are located at the same place on the Unit Circle but are n-rotations clockwise or counterclockwise.

Start with 35° and continue to subtract 360° (which is one rotation) until you reach - 685° or pass it. If you reach - 685°, then it is coterminal. If you pass it, then it is not coterminal.

35° - 360° = - 325°

-325° - 360° = - 685°

So, - 685° is 2 rotations counterclockwise to 35°, which means the two angles are coterminal to each other.