Angle Addition and Subtraction Calculator
Angle Addition and Subtraction Calculator
Enter two angles in degrees, minutes, and seconds and choose add or subtract — useful for surveying, navigation, or any calculation combining precise angular measurements.
Both angles are converted to total arcseconds first, added or subtracted as plain numbers, then reformatted back into degrees, minutes, and seconds — the same underlying approach as adding times in h:m:s, just with 60 arcseconds per arcminute and 60 arcminutes per degree instead of hours and minutes. The raw result isn't automatically normalized into the standard 0-360° range, so if your calculation produces a result outside that range (from subtracting a larger angle, for instance), the Reference and Coterminal Angle Calculator is the right follow-up tool to bring it back into a standard form.
- Method: both angles are converted to total arcseconds, added or subtracted, then reformatted back to degrees/minutes/seconds.
- Example: 45°30'00" + 10°45'00" = 56°15'00".
- Raw result: the sum is not normalized to 0-360° — use the Reference and Coterminal Angle Calculator afterward if you need a normalized angle.
What if the result exceeds 360°?
It will show a raw value above 360° (e.g. 400°15'00") — normalize it separately if you need an angle within one full rotation.
How do I subtract a larger angle from a smaller one?
Choose Subtract — the result will be negative, shown with a minus sign on the degrees value.
Angle Addition and Subtraction Calculator
Enter two angles in degrees, minutes, and seconds and choose add or subtract — useful for surveying, navigation, or any calculation combining precise angular measurements.
Both angles are converted to total arcseconds first, added or subtracted as plain numbers, then reformatted back into degrees, minutes, and seconds — the same underlying approach as adding times in h:m:s, just with 60 arcseconds per arcminute and 60 arcminutes per degree instead of hours and minutes. The raw result isn't automatically normalized into the standard 0-360° range, so if your calculation produces a result outside that range (from subtracting a larger angle, for instance), the Reference and Coterminal Angle Calculator is the right follow-up tool to bring it back into a standard form.
- Method: both angles are converted to total arcseconds, added or subtracted, then reformatted back to degrees/minutes/seconds.
- Example: 45°30'00" + 10°45'00" = 56°15'00".
- Raw result: the sum is not normalized to 0-360° — use the Reference and Coterminal Angle Calculator afterward if you need a normalized angle.
What if the result exceeds 360°?
It will show a raw value above 360° (e.g. 400°15'00") — normalize it separately if you need an angle within one full rotation.
How do I subtract a larger angle from a smaller one?
Choose Subtract — the result will be negative, shown with a minus sign on the degrees value.