Answer
200°
Work Step by Step
1. -8440 $^{\circ}$ is a big negative number compared to 360. The best way to find its smallest positive coterminal angle is to divide initial angle by 360$^{\circ}$, and find how many times 360 should be added. However, in this case of negative number it should be rounded favoring larger negative number (24)
-8440° ÷360° = -23$\frac{4}{9}$
2. -8440° +24×360° = 200°