Final answer:
The closest positive angle coterminal to 725° is 5°, which is obtained by subtracting 360° twice from 725°.
Step-by-step explanation:
The closest positive angle coterminal to 725° can be found by subtracting multiples of 360° until the result is a positive angle less than 360°. Since 725° is greater than 360°, we need to do this at least once.
725° - 360° = 365°, which is still greater than 360°. So, we subtract 360° again.
365° - 360° = 5°. This is the answer since 5° is less than 360° and is a positive angle.
Therefore, the closest positive angle coterminal to 725° is 5°.