The angle between 0 ∘ and 360 ∘ that is coterminal with the − 377 ∘ angle is degrees.

Question

The angle between  and  that is coterminal with the  angle is degrees.

Answer 1

720° - 377° = 343°

Answer 2

Co-terminal means two angles that terminate at the same place on the unit circle. A circle is 360 degrees, so to find co-terminal angles, we can add or subtract by 360 degree. This is a negative angle and we need it between 0 and 360, so I think adding makes the most sense here.

-377 + 360 = -17, which does not get between 0 and 360. No problem! We can keep adding/subtracting until we do!

-17 + 360 = 343. That's between 0 and 360 so we are done!