57 minutes
Reasonable load range: 41 minutes to 2.12 hours
Calculation
200Wh × 85% usable efficiency ÷ (180W × 100% duty cycle) = 0.94 hours.
What can change the result
Actual device wattage, battery age, ambient temperature, inverter standby draw, conversion losses, power-factor behavior and cycling frequency can all reduce or extend runtime.
Check output before connecting
The battery or UPS needs at least 250W continuous capability and about 300W surge capability. Watt-hours alone do not prove compatibility.