Final answer:
The closest negative angle coterminal to 930° is found by subtracting multiples of 360° until the angle is negative, resulting in -150°.
Step-by-step explanation:
To find the closest negative angle coterminal to 930°, we need to subtract multiples of 360° (the full circle) until we obtain a negative result. To do this:
Start with the given angle: 930°.
Subtract 360° continuously until the result is negative (930° - 360° = 570°, 570° - 360° = 210°, and so on).
Continue this process until a negative angle is reached. Here, we will have to subtract 360° three times to get a positive angle just under 360°, which is 210°. Then, subtract 360° one more time to get a negative angle.
The result is 210° - 360° = -150°.
The closest negative angle coterminal with 930° is -150°.